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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Right triangle: } a=3, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 1 = 1.5$
$\text{Right triangle: } a=4, b=4 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 4 = 8.0$</think>
<answer>10</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Rectangle: } w=1, h=4 \Rightarrow A=w \times h = 1 \times 4 = 4$
$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Trapezoid: } a=7, b=2, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+2}2 \times 9 = 40.5$
$\text{Rectangle: } w=5, h=3 \Rightarrow A=w \times h = 5 \times 3 = 15$
$\text{Right triangle: } a=6, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 9 = 27.0$
$\text{Right triangle: } a=1, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 5 = 2.5$</think>
<answer>125</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Rectangle: } w=3, h=2 \Rightarrow A=w \times h = 3 \times 2 = 6$
$\text{Trapezoid: } a=5, b=2, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+2}2 \times 4 = 14.0$
$\text{Trapezoid: } a=9, b=7, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+7}2 \times 9 = 72.0$
$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Trapezoid: } a=5, b=9, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+9}2 \times 9 = 63.0$</think>
<answer>204</answer>
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There are 2 shapes on a 10x10 grid. Which shape is closest to the blue right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: blue right_triangle at (5, 4)
Distance from target shape to orange right_triangle at (1, 1): 7
Closest shape is the orange right_triangle at (1, 1) with distance 7</think>
<answer>(1, 1)</answer>
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There are 4 shapes on a 3x3 grid. Which shape is closest to the cyan rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: cyan rectangle at (1, 2)
Distance from target shape to pink rectangle at (0, 0): 3
Distance from target shape to purple right_triangle at (2, 2): 1
Distance from target shape to blue trapezoid at (2, 0): 3
Closest shape is the purple right_triangle at (2, 2) with distance 1</think>
<answer>(2, 2)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Trapezoid: } a=6, b=9, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{6+9}2 \times 7 = 52.5$
$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$
$\text{Right triangle: } a=2, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 7 = 7.0$</think>
<answer>64</answer>
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There are 5 shapes on a 10x10 grid. Which shape is closest to the cyan square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: cyan square at (3, 9)
Distance from target shape to gray trapezoid at (8, 0): 14
Distance from target shape to green right_triangle at (2, 8): 2
Distance from target shape to orange trapezoid at (3, 7): 2
Distance from target shape to purple right_triangle at (6, 5): 7
Closest shape is the green right_triangle at (2, 8) with distance 2</think>
<answer>(2, 8)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Rectangle: } w=7, h=5 \Rightarrow A=w \times h = 7 \times 5 = 35$
$\text{Rectangle: } w=9, h=8 \Rightarrow A=w \times h = 9 \times 8 = 72$
$\text{Rectangle: } w=5, h=6 \Rightarrow A=w \times h = 5 \times 6 = 30$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$</think>
<answer>146</answer>
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There are 6 shapes on a 8x8 grid. Which shape is closest to the pink rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: pink rectangle at (1, 0)
Distance from target shape to purple right_triangle at (5, 5): 9
Distance from target shape to gray square at (5, 1): 5
Distance from target shape to yellow trapezoid at (4, 1): 4
Distance from target shape to cyan rectangle at (7, 2): 8
Distance from target shape to blue square at (6, 6): 11
Closest shape is the yellow trapezoid at (4, 1) with distance 4</think>
<answer>(4, 1)</answer>
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There are 6 shapes on a 8x8 grid. Which shape is closest to the brown trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: brown trapezoid at (5, 3)
Distance from target shape to pink right_triangle at (5, 4): 1
Distance from target shape to gray trapezoid at (3, 7): 6
Distance from target shape to red rectangle at (0, 4): 6
Distance from target shape to green trapezoid at (4, 3): 1
Distance from target shape to blue square at (5, 6): 3
Closest shape is the pink right_triangle at (5, 4) with distance 1</think>
<answer>(5, 4)</answer>
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There are 3 shapes on a 5x5 grid. Which shape is closest to the blue rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: blue rectangle at (2, 3)
Distance from target shape to orange right_triangle at (3, 2): 2
Distance from target shape to red rectangle at (1, 1): 3
Closest shape is the orange right_triangle at (3, 2) with distance 2</think>
<answer>(3, 2)</answer>
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There are 6 shapes on a 9x9 grid. Which shape is closest to the cyan right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: cyan right_triangle at (0, 1)
Distance from target shape to red trapezoid at (4, 0): 5
Distance from target shape to gray square at (6, 8): 13
Distance from target shape to blue trapezoid at (7, 0): 8
Distance from target shape to pink square at (6, 4): 9
Distance from target shape to orange trapezoid at (6, 3): 8
Closest shape is the red trapezoid at (4, 0) with distance 5</think>
<answer>(4, 0)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Right triangle: } a=6, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 3 = 9.0$
$\text{Right triangle: } a=7, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 7 = 24.5$
$\text{Right triangle: } a=2, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 9 = 9.0$
$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$
$\text{Rectangle: } w=9, h=9 \Rightarrow A=w \times h = 9 \times 9 = 81$</think>
<answer>188</answer>
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There are 6 shapes on a 5x5 grid. Which shape is closest to the orange square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: orange square at (4, 0)
Distance from target shape to yellow right_triangle at (4, 1): 1
Distance from target shape to gray trapezoid at (1, 4): 7
Distance from target shape to purple rectangle at (0, 2): 6
Distance from target shape to brown rectangle at (3, 3): 4
Distance from target shape to red square at (2, 0): 2
Closest shape is the yellow right_triangle at (4, 1) with distance 1</think>
<answer>(4, 1)</answer>
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There are 6 shapes on a 3x3 grid. Which shape is closest to the orange square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: orange square at (0, 1)
Distance from target shape to brown trapezoid at (1, 1): 1
Distance from target shape to gray square at (0, 2): 1
Distance from target shape to purple square at (2, 0): 3
Distance from target shape to green right_triangle at (2, 2): 3
Distance from target shape to pink square at (0, 0): 1
Closest shape is the brown trapezoid at (1, 1) with distance 1</think>
<answer>(1, 1)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Right triangle: } a=1, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 5 = 2.5$
$\text{Rectangle: } w=7, h=6 \Rightarrow A=w \times h = 7 \times 6 = 42$
$\text{Right triangle: } a=9, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 8 = 36.0$</think>
<answer>80</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Trapezoid: } a=1, b=7, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+7}2 \times 9 = 36.0$
$\text{Rectangle: } w=1, h=1 \Rightarrow A=w \times h = 1 \times 1 = 1$
$\text{Rectangle: } w=5, h=2 \Rightarrow A=w \times h = 5 \times 2 = 10$
$\text{Right triangle: } a=4, b=2 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 2 = 4.0$
$\text{Rectangle: } w=5, h=2 \Rightarrow A=w \times h = 5 \times 2 = 10$
$\text{Rectangle: } w=1, h=2 \Rightarrow A=w \times h = 1 \times 2 = 2$</think>
<answer>63</answer>
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There are 4 shapes on a 7x7 grid. Which shape is closest to the cyan square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: cyan square at (5, 6)
Distance from target shape to gray trapezoid at (5, 2): 4
Distance from target shape to red rectangle at (4, 1): 6
Distance from target shape to pink right_triangle at (4, 3): 4
Closest shape is the gray trapezoid at (5, 2) with distance 4</think>
<answer>(5, 2)</answer>
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There are 6 shapes on a 7x7 grid. Which shape is closest to the purple right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: purple right_triangle at (6, 1)
Distance from target shape to yellow right_triangle at (1, 5): 9
Distance from target shape to red rectangle at (6, 3): 2
Distance from target shape to cyan square at (5, 2): 2
Distance from target shape to pink right_triangle at (0, 1): 6
Distance from target shape to brown right_triangle at (6, 4): 3
Closest shape is the red rectangle at (6, 3) with distance 2</think>
<answer>(6, 3)</answer>
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There are 6 shapes on a 3x3 grid. Which shape is closest to the red rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: red rectangle at (0, 2)
Distance from target shape to pink trapezoid at (1, 0): 3
Distance from target shape to cyan square at (2, 1): 3
Distance from target shape to green square at (2, 0): 4
Distance from target shape to brown rectangle at (2, 2): 2
Distance from target shape to purple right_triangle at (0, 0): 2
Closest shape is the brown rectangle at (2, 2) with distance 2</think>
<answer>(2, 2)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Right triangle: } a=7, b=2 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 2 = 7.0$
$\text{Square: } s=9 \Rightarrow A=s^2=9^2=81$</think>
<answer>88</answer>
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There are 2 shapes on a 8x8 grid. Which shape is closest to the blue rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: blue rectangle at (1, 0)
Distance from target shape to red right_triangle at (1, 7): 7
Closest shape is the red right_triangle at (1, 7) with distance 7</think>
<answer>(1, 7)</answer>
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There are 4 shapes on a 10x10 grid. Which shape is closest to the pink trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: pink trapezoid at (8, 6)
Distance from target shape to yellow rectangle at (2, 3): 9
Distance from target shape to gray right_triangle at (3, 2): 9
Distance from target shape to brown rectangle at (4, 5): 5
Closest shape is the brown rectangle at (4, 5) with distance 5</think>
<answer>(4, 5)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Trapezoid: } a=7, b=3, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+3}2 \times 5 = 25.0$
$\text{Trapezoid: } a=4, b=9, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+9}2 \times 4 = 26.0$</think>
<answer>51</answer>
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There are 3 shapes on a 9x9 grid. Which shape is closest to the cyan square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: cyan square at (1, 6)
Distance from target shape to yellow trapezoid at (1, 3): 3
Distance from target shape to red square at (6, 5): 6
Closest shape is the yellow trapezoid at (1, 3) with distance 3</think>
<answer>(1, 3)</answer>
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There are 6 shapes on a 8x8 grid. Which shape is closest to the orange square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: orange square at (6, 4)
Distance from target shape to brown rectangle at (6, 2): 2
Distance from target shape to gray rectangle at (1, 3): 6
Distance from target shape to blue trapezoid at (6, 3): 1
Distance from target shape to cyan trapezoid at (4, 3): 3
Distance from target shape to green square at (4, 2): 4
Closest shape is the blue trapezoid at (6, 3) with distance 1</think>
<answer>(6, 3)</answer>
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There are 4 shapes on a 9x9 grid. Which shape is closest to the gray rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: gray rectangle at (1, 1)
Distance from target shape to pink trapezoid at (0, 6): 6
Distance from target shape to cyan square at (8, 3): 9
Distance from target shape to purple right_triangle at (2, 6): 6
Closest shape is the pink trapezoid at (0, 6) with distance 6</think>
<answer>(0, 6)</answer>
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There are 6 shapes on a 9x9 grid. Which shape is closest to the pink square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: pink square at (6, 8)
Distance from target shape to purple trapezoid at (2, 3): 9
Distance from target shape to gray rectangle at (5, 3): 6
Distance from target shape to blue trapezoid at (5, 5): 4
Distance from target shape to orange trapezoid at (4, 6): 4
Distance from target shape to cyan rectangle at (5, 2): 7
Closest shape is the blue trapezoid at (5, 5) with distance 4</think>
<answer>(5, 5)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Right triangle: } a=3, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 9 = 13.5$
$\text{Right triangle: } a=4, b=6 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 6 = 12.0$
$\text{Trapezoid: } a=3, b=3, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{3+3}2 \times 9 = 27.0$
$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Rectangle: } w=2, h=2 \Rightarrow A=w \times h = 2 \times 2 = 4$</think>
<answer>128</answer>
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There are 4 shapes on a 8x8 grid. Which shape is closest to the blue rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: blue rectangle at (3, 2)
Distance from target shape to gray rectangle at (5, 1): 3
Distance from target shape to brown rectangle at (7, 3): 5
Distance from target shape to green rectangle at (6, 0): 5
Closest shape is the gray rectangle at (5, 1) with distance 3</think>
<answer>(5, 1)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Trapezoid: } a=6, b=4, h=3 \Rightarrow A=\frac{a+b}2 \times h = \frac{6+4}2 \times 3 = 15.0$
$\text{Square: } s=1 \Rightarrow A=s^2=1^2=1$
$\text{Right triangle: } a=4, b=4 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 4 = 8.0$
$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$</think>
<answer>88</answer>
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There are 6 shapes on a 7x7 grid. Which shape is closest to the cyan rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: cyan rectangle at (2, 5)
Distance from target shape to orange rectangle at (2, 2): 3
Distance from target shape to pink square at (6, 1): 8
Distance from target shape to gray right_triangle at (1, 5): 1
Distance from target shape to red right_triangle at (6, 3): 6
Distance from target shape to purple trapezoid at (5, 3): 5
Closest shape is the gray right_triangle at (1, 5) with distance 1</think>
<answer>(1, 5)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Right triangle: } a=7, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 5 = 17.5$
$\text{Trapezoid: } a=3, b=7, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{3+7}2 \times 9 = 45.0$</think>
<answer>62</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Rectangle: } w=7, h=2 \Rightarrow A=w \times h = 7 \times 2 = 14$
$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$</think>
<answer>63</answer>
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There are 5 shapes on a 8x8 grid. Which shape is closest to the blue square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: blue square at (2, 4)
Distance from target shape to brown right_triangle at (4, 3): 3
Distance from target shape to red right_triangle at (5, 6): 5
Distance from target shape to green right_triangle at (4, 6): 4
Distance from target shape to gray trapezoid at (5, 5): 4
Closest shape is the brown right_triangle at (4, 3) with distance 3</think>
<answer>(4, 3)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Right triangle: } a=4, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 7 = 14.0$
$\text{Right triangle: } a=3, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 9 = 13.5$
$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$
$\text{Rectangle: } w=7, h=8 \Rightarrow A=w \times h = 7 \times 8 = 56$
$\text{Rectangle: } w=4, h=9 \Rightarrow A=w \times h = 4 \times 9 = 36$</think>
<answer>232</answer>
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There are 5 shapes on a 6x6 grid. Which shape is closest to the purple rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: purple rectangle at (4, 0)
Distance from target shape to cyan trapezoid at (3, 2): 3
Distance from target shape to brown square at (1, 4): 7
Distance from target shape to gray rectangle at (2, 2): 4
Distance from target shape to red trapezoid at (0, 5): 9
Closest shape is the cyan trapezoid at (3, 2) with distance 3</think>
<answer>(3, 2)</answer>
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There are 2 shapes on a 7x7 grid. Which shape is closest to the blue trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: blue trapezoid at (5, 3)
Distance from target shape to yellow right_triangle at (3, 0): 5
Closest shape is the yellow right_triangle at (3, 0) with distance 5</think>
<answer>(3, 0)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Trapezoid: } a=6, b=2, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{6+2}2 \times 2 = 8.0$
$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Trapezoid: } a=5, b=7, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+7}2 \times 9 = 54.0$</think>
<answer>78</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Right triangle: } a=5, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 1 = 2.5$
$\text{Trapezoid: } a=1, b=9, h=8 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+9}2 \times 8 = 40.0$
$\text{Right triangle: } a=6, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 7 = 21.0$</think>
<answer>64</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$
$\text{Rectangle: } w=9, h=7 \Rightarrow A=w \times h = 9 \times 7 = 63$
$\text{Rectangle: } w=5, h=2 \Rightarrow A=w \times h = 5 \times 2 = 10$
$\text{Trapezoid: } a=2, b=5, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{2+5}2 \times 9 = 31.5$
$\text{Trapezoid: } a=4, b=1, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+1}2 \times 5 = 12.5$</think>
<answer>121</answer>
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There are 2 shapes on a 9x9 grid. Which shape is closest to the brown trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: brown trapezoid at (6, 0)
Distance from target shape to red rectangle at (6, 8): 8
Closest shape is the red rectangle at (6, 8) with distance 8</think>
<answer>(6, 8)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Rectangle: } w=2, h=1 \Rightarrow A=w \times h = 2 \times 1 = 2$
$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Right triangle: } a=8, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 8 \times 7 = 28.0$
$\text{Right triangle: } a=7, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 5 = 17.5$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Rectangle: } w=5, h=9 \Rightarrow A=w \times h = 5 \times 9 = 45$</think>
<answer>118</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Right triangle: } a=7, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 5 = 17.5$
$\text{Right triangle: } a=9, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 1 = 4.5$
$\text{Right triangle: } a=3, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 5 = 7.5$
$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Rectangle: } w=3, h=5 \Rightarrow A=w \times h = 3 \times 5 = 15$</think>
<answer>60</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$
$\text{Rectangle: } w=7, h=9 \Rightarrow A=w \times h = 7 \times 9 = 63$
$\text{Rectangle: } w=2, h=4 \Rightarrow A=w \times h = 2 \times 4 = 8$
$\text{Rectangle: } w=8, h=1 \Rightarrow A=w \times h = 8 \times 1 = 8$
$\text{Trapezoid: } a=9, b=9, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+9}2 \times 9 = 81.0$</think>
<answer>224</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Rectangle: } w=9, h=8 \Rightarrow A=w \times h = 9 \times 8 = 72$
$\text{Right triangle: } a=5, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 9 = 22.5$
$\text{Rectangle: } w=9, h=2 \Rightarrow A=w \times h = 9 \times 2 = 18$
$\text{Trapezoid: } a=6, b=3, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{6+3}2 \times 2 = 9.0$
$\text{Right triangle: } a=9, b=2 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 2 = 9.0$
$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$</think>
<answer>134</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Right triangle: } a=2, b=2 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 2 = 2.0$
$\text{Trapezoid: } a=3, b=2, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{3+2}2 \times 9 = 22.5$
$\text{Right triangle: } a=9, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 7 = 31.5$
$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$</think>
<answer>60</answer>
|
|
There are 3 shapes on a 8x8 grid. Which shape is closest to the pink right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: pink right_triangle at (6, 5)
Distance from target shape to green rectangle at (6, 2): 3
Distance from target shape to yellow right_triangle at (0, 2): 9
Closest shape is the green rectangle at (6, 2) with distance 3</think>
<answer>(6, 2)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Right triangle: } a=4, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 9 = 18.0$
$\text{Rectangle: } w=5, h=7 \Rightarrow A=w \times h = 5 \times 7 = 35$
$\text{Right triangle: } a=1, b=4 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 4 = 2.0$</think>
<answer>55</answer>
|
|
There are 2 shapes on a 3x3 grid. Which shape is closest to the cyan square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: cyan square at (1, 0)
Distance from target shape to yellow trapezoid at (2, 1): 2
Closest shape is the yellow trapezoid at (2, 1) with distance 2</think>
<answer>(2, 1)</answer>
|
|
There are 3 shapes on a 6x6 grid. Which shape is closest to the green right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: green right_triangle at (4, 0)
Distance from target shape to yellow rectangle at (1, 3): 6
Distance from target shape to brown rectangle at (5, 3): 4
Closest shape is the brown rectangle at (5, 3) with distance 4</think>
<answer>(5, 3)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Right triangle: } a=4, b=6 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 6 = 12.0$
$\text{Square: } s=9 \Rightarrow A=s^2=9^2=81$
$\text{Rectangle: } w=6, h=8 \Rightarrow A=w \times h = 6 \times 8 = 48$
$\text{Rectangle: } w=1, h=7 \Rightarrow A=w \times h = 1 \times 7 = 7$</think>
<answer>148</answer>
|
|
There are 4 shapes on a 7x7 grid. Which shape is closest to the pink square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: pink square at (3, 3)
Distance from target shape to green rectangle at (0, 3): 3
Distance from target shape to blue square at (5, 4): 3
Distance from target shape to yellow square at (0, 4): 4
Closest shape is the green rectangle at (0, 3) with distance 3</think>
<answer>(0, 3)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Square: } s=5 \Rightarrow A=s^2=5^2=25$</think>
<answer>34</answer>
|
|
There are 5 shapes on a 9x9 grid. Which shape is closest to the orange trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: orange trapezoid at (2, 1)
Distance from target shape to pink square at (6, 1): 4
Distance from target shape to brown trapezoid at (3, 6): 6
Distance from target shape to red rectangle at (6, 5): 8
Distance from target shape to blue rectangle at (3, 2): 2
Closest shape is the blue rectangle at (3, 2) with distance 2</think>
<answer>(3, 2)</answer>
|
|
There are 3 shapes on a 9x9 grid. Which shape is closest to the green square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: green square at (1, 5)
Distance from target shape to red rectangle at (5, 0): 9
Distance from target shape to cyan right_triangle at (2, 1): 5
Closest shape is the cyan right_triangle at (2, 1) with distance 5</think>
<answer>(2, 1)</answer>
|
|
There are 6 shapes on a 8x8 grid. Which shape is closest to the gray trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: gray trapezoid at (0, 0)
Distance from target shape to green rectangle at (2, 4): 6
Distance from target shape to yellow trapezoid at (5, 3): 8
Distance from target shape to purple square at (3, 1): 4
Distance from target shape to brown square at (3, 3): 6
Distance from target shape to pink square at (4, 4): 8
Closest shape is the purple square at (3, 1) with distance 4</think>
<answer>(3, 1)</answer>
|
|
There are 5 shapes on a 7x7 grid. Which shape is closest to the red right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: red right_triangle at (4, 0)
Distance from target shape to purple trapezoid at (5, 3): 4
Distance from target shape to blue trapezoid at (3, 3): 4
Distance from target shape to brown trapezoid at (6, 6): 8
Distance from target shape to yellow right_triangle at (1, 4): 7
Closest shape is the purple trapezoid at (5, 3) with distance 4</think>
<answer>(5, 3)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Trapezoid: } a=5, b=1, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+1}2 \times 9 = 27.0$
$\text{Right triangle: } a=5, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 5 \times 1 = 2.5$
$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$
$\text{Rectangle: } w=6, h=8 \Rightarrow A=w \times h = 6 \times 8 = 48$</think>
<answer>142</answer>
|
|
There are 4 shapes on a 7x7 grid. Which shape is closest to the gray right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: gray right_triangle at (1, 0)
Distance from target shape to purple right_triangle at (2, 0): 1
Distance from target shape to green square at (0, 2): 3
Distance from target shape to red trapezoid at (2, 5): 6
Closest shape is the purple right_triangle at (2, 0) with distance 1</think>
<answer>(2, 0)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$
$\text{Rectangle: } w=1, h=9 \Rightarrow A=w \times h = 1 \times 9 = 9$
$\text{Rectangle: } w=1, h=9 \Rightarrow A=w \times h = 1 \times 9 = 9$
$\text{Square: } s=1 \Rightarrow A=s^2=1^2=1$</think>
<answer>23</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Trapezoid: } a=7, b=8, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+8}2 \times 7 = 52.5$
$\text{Right triangle: } a=4, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 8 = 16.0$
$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$
$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Trapezoid: } a=1, b=1, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+1}2 \times 9 = 9.0$</think>
<answer>134</answer>
|
|
There are 6 shapes on a 10x10 grid. Which shape is closest to the gray right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: gray right_triangle at (6, 4)
Distance from target shape to green trapezoid at (0, 1): 9
Distance from target shape to purple square at (2, 6): 6
Distance from target shape to pink square at (7, 9): 6
Distance from target shape to orange square at (3, 1): 6
Distance from target shape to brown rectangle at (5, 8): 5
Closest shape is the brown rectangle at (5, 8) with distance 5</think>
<answer>(5, 8)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Rectangle: } w=3, h=9 \Rightarrow A=w \times h = 3 \times 9 = 27$
$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$</think>
<answer>63</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Rectangle: } w=3, h=6 \Rightarrow A=w \times h = 3 \times 6 = 18$
$\text{Right triangle: } a=6, b=3 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 6 \times 3 = 9.0$
$\text{Rectangle: } w=6, h=7 \Rightarrow A=w \times h = 6 \times 7 = 42$
$\text{Trapezoid: } a=8, b=6, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{8+6}2 \times 7 = 49.0$</think>
<answer>134</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Right triangle: } a=4, b=2 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 2 = 4.0$
$\text{Trapezoid: } a=1, b=9, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+9}2 \times 2 = 10.0$</think>
<answer>14</answer>
|
|
There are 2 shapes on a 3x3 grid. Which shape is closest to the brown trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: brown trapezoid at (0, 2)
Distance from target shape to orange trapezoid at (1, 1): 2
Closest shape is the orange trapezoid at (1, 1) with distance 2</think>
<answer>(1, 1)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Right triangle: } a=1, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 1 \times 5 = 2.5$
$\text{Rectangle: } w=8, h=3 \Rightarrow A=w \times h = 8 \times 3 = 24$
$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$</think>
<answer>84</answer>
|
|
There are 3 shapes on a 6x6 grid. Which shape is closest to the green square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: green square at (3, 3)
Distance from target shape to yellow right_triangle at (2, 1): 3
Distance from target shape to red trapezoid at (1, 0): 5
Closest shape is the yellow right_triangle at (2, 1) with distance 3</think>
<answer>(2, 1)</answer>
|
|
There are 4 shapes on a 4x4 grid. Which shape is closest to the cyan trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: cyan trapezoid at (3, 3)
Distance from target shape to blue square at (0, 1): 5
Distance from target shape to pink right_triangle at (0, 0): 6
Distance from target shape to gray right_triangle at (0, 3): 3
Closest shape is the gray right_triangle at (0, 3) with distance 3</think>
<answer>(0, 3)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Right triangle: } a=9, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 9 = 40.5$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Rectangle: } w=8, h=4 \Rightarrow A=w \times h = 8 \times 4 = 32$</think>
<answer>82</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Trapezoid: } a=9, b=9, h=3 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+9}2 \times 3 = 27.0$
$\text{Rectangle: } w=9, h=6 \Rightarrow A=w \times h = 9 \times 6 = 54$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Right triangle: } a=3, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 3 \times 1 = 1.5$</think>
<answer>92</answer>
|
|
There are 4 shapes on a 9x9 grid. Which shape is closest to the blue rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: blue rectangle at (5, 0)
Distance from target shape to pink right_triangle at (2, 3): 6
Distance from target shape to cyan rectangle at (5, 8): 8
Distance from target shape to green square at (1, 6): 10
Closest shape is the pink right_triangle at (2, 3) with distance 6</think>
<answer>(2, 3)</answer>
|
|
There are 4 shapes on a 6x6 grid. Which shape is closest to the orange rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: orange rectangle at (0, 2)
Distance from target shape to gray rectangle at (5, 5): 8
Distance from target shape to yellow square at (5, 3): 6
Distance from target shape to brown right_triangle at (4, 5): 7
Closest shape is the yellow square at (5, 3) with distance 6</think>
<answer>(5, 3)</answer>
|
|
There are 6 shapes on a 5x5 grid. Which shape is closest to the cyan rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: cyan rectangle at (3, 2)
Distance from target shape to pink square at (0, 4): 5
Distance from target shape to green right_triangle at (1, 1): 3
Distance from target shape to gray square at (0, 0): 5
Distance from target shape to yellow right_triangle at (3, 3): 1
Distance from target shape to red square at (4, 2): 1
Closest shape is the yellow right_triangle at (3, 3) with distance 1</think>
<answer>(3, 3)</answer>
|
|
There are 5 shapes on a 10x10 grid. Which shape is closest to the yellow right_triangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: yellow right_triangle at (5, 4)
Distance from target shape to orange trapezoid at (3, 5): 3
Distance from target shape to blue right_triangle at (0, 2): 7
Distance from target shape to green trapezoid at (7, 2): 4
Distance from target shape to cyan right_triangle at (3, 4): 2
Closest shape is the cyan right_triangle at (3, 4) with distance 2</think>
<answer>(3, 4)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Trapezoid: } a=5, b=4, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+4}2 \times 2 = 9.0$
$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Square: } s=4 \Rightarrow A=s^2=4^2=16$
$\text{Trapezoid: } a=5, b=7, h=3 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+7}2 \times 3 = 18.0$
$\text{Right triangle: } a=8, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 8 \times 1 = 4.0$
$\text{Rectangle: } w=4, h=2 \Rightarrow A=w \times h = 4 \times 2 = 8$</think>
<answer>91</answer>
|
|
There are 3 shapes on a 5x5 grid. Which shape is closest to the pink trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: pink trapezoid at (0, 2)
Distance from target shape to purple right_triangle at (4, 4): 6
Distance from target shape to red trapezoid at (4, 2): 4
Closest shape is the red trapezoid at (4, 2) with distance 4</think>
<answer>(4, 2)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Rectangle: } w=8, h=9 \Rightarrow A=w \times h = 8 \times 9 = 72$
$\text{Trapezoid: } a=7, b=2, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+2}2 \times 7 = 31.5$
$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Trapezoid: } a=2, b=4, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{2+4}2 \times 7 = 21.0$
$\text{Right triangle: } a=2, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 1 = 1.0$
$\text{Right triangle: } a=2, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 1 = 1.0$</think>
<answer>176</answer>
|
|
There are 6 shapes on a 3x3 grid. Which shape is closest to the orange square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: orange square at (2, 2)
Distance from target shape to gray trapezoid at (1, 0): 3
Distance from target shape to cyan trapezoid at (0, 0): 4
Distance from target shape to brown square at (1, 2): 1
Distance from target shape to yellow rectangle at (2, 1): 1
Distance from target shape to red trapezoid at (0, 1): 3
Closest shape is the brown square at (1, 2) with distance 1</think>
<answer>(1, 2)</answer>
|
|
There are 5 shapes on a 8x8 grid. Which shape is closest to the pink square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: pink square at (5, 2)
Distance from target shape to purple trapezoid at (2, 5): 6
Distance from target shape to blue right_triangle at (7, 6): 6
Distance from target shape to yellow trapezoid at (6, 1): 2
Distance from target shape to green trapezoid at (3, 6): 6
Closest shape is the yellow trapezoid at (6, 1) with distance 2</think>
<answer>(6, 1)</answer>
|
|
There are 6 shapes on a 9x9 grid. Which shape is closest to the gray trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: gray trapezoid at (6, 0)
Distance from target shape to blue rectangle at (8, 8): 10
Distance from target shape to yellow trapezoid at (3, 7): 10
Distance from target shape to red trapezoid at (4, 3): 5
Distance from target shape to purple rectangle at (0, 0): 6
Distance from target shape to orange right_triangle at (1, 2): 7
Closest shape is the red trapezoid at (4, 3) with distance 5</think>
<answer>(4, 3)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Rectangle: } w=1, h=7 \Rightarrow A=w \times h = 1 \times 7 = 7$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Trapezoid: } a=6, b=7, h=8 \Rightarrow A=\frac{a+b}2 \times h = \frac{6+7}2 \times 8 = 52.0$
$\text{Right triangle: } a=4, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 8 = 16.0$</think>
<answer>133</answer>
|
|
There are 5 shapes on a 6x6 grid. Which shape is closest to the green square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
|
<think>Target shape: green square at (4, 1)
Distance from target shape to gray square at (2, 3): 4
Distance from target shape to red square at (2, 2): 3
Distance from target shape to brown trapezoid at (2, 0): 3
Distance from target shape to yellow rectangle at (5, 1): 1
Closest shape is the yellow rectangle at (5, 1) with distance 1</think>
<answer>(5, 1)</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Rectangle: } w=7, h=5 \Rightarrow A=w \times h = 7 \times 5 = 35$
$\text{Rectangle: } w=3, h=2 \Rightarrow A=w \times h = 3 \times 2 = 6$
$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$
$\text{Trapezoid: } a=9, b=9, h=3 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+9}2 \times 3 = 27.0$
$\text{Right triangle: } a=8, b=2 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 8 \times 2 = 8.0$</think>
<answer>140</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
|
<think>$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Trapezoid: } a=9, b=9, h=6 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+9}2 \times 6 = 54.0$
$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$
$\text{Rectangle: } w=7, h=8 \Rightarrow A=w \times h = 7 \times 8 = 56$
$\text{Rectangle: } w=1, h=5 \Rightarrow A=w \times h = 1 \times 5 = 5$
$\text{Right triangle: } a=8, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 8 \times 9 = 36.0$</think>
<answer>264</answer>
|
|
What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Trapezoid: } a=4, b=1, h=4 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+1}2 \times 4 = 10.0$
$\text{Square: } s=6 \Rightarrow A=s^2=6^2=36$
$\text{Right triangle: } a=9, b=9 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 9 = 40.5$
$\text{Square: } s=9 \Rightarrow A=s^2=9^2=81$
$\text{Rectangle: } w=2, h=5 \Rightarrow A=w \times h = 2 \times 5 = 10$
$\text{Square: } s=2 \Rightarrow A=s^2=2^2=4$</think>
<answer>182</answer>
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There are 4 shapes on a 8x8 grid. Which shape is closest to the green rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: green rectangle at (7, 6)
Distance from target shape to orange trapezoid at (5, 7): 3
Distance from target shape to blue trapezoid at (5, 1): 7
Distance from target shape to red trapezoid at (6, 5): 2
Closest shape is the red trapezoid at (6, 5) with distance 2</think>
<answer>(6, 5)</answer>
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There are 4 shapes on a 4x4 grid. Which shape is closest to the orange rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: orange rectangle at (0, 2)
Distance from target shape to pink rectangle at (1, 1): 2
Distance from target shape to blue square at (2, 3): 3
Distance from target shape to gray right_triangle at (3, 3): 4
Closest shape is the pink rectangle at (1, 1) with distance 2</think>
<answer>(1, 1)</answer>
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There are 3 shapes on a 10x10 grid. Which shape is closest to the orange trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: orange trapezoid at (8, 2)
Distance from target shape to red rectangle at (9, 7): 6
Distance from target shape to green rectangle at (3, 0): 7
Closest shape is the red rectangle at (9, 7) with distance 6</think>
<answer>(9, 7)</answer>
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There are 4 shapes on a 6x6 grid. Which shape is closest to the blue rectangle in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: blue rectangle at (3, 0)
Distance from target shape to cyan square at (5, 1): 3
Distance from target shape to brown rectangle at (5, 5): 7
Distance from target shape to gray rectangle at (4, 2): 3
Closest shape is the cyan square at (5, 1) with distance 3</think>
<answer>(5, 1)</answer>
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There are 2 shapes on a 5x5 grid. Which shape is closest to the cyan trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: cyan trapezoid at (2, 4)
Distance from target shape to yellow right_triangle at (0, 4): 2
Closest shape is the yellow right_triangle at (0, 4) with distance 2</think>
<answer>(0, 4)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Trapezoid: } a=1, b=1, h=9 \Rightarrow A=\frac{a+b}2 \times h = \frac{1+1}2 \times 9 = 9.0$
$\text{Trapezoid: } a=5, b=9, h=6 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+9}2 \times 6 = 42.0$
$\text{Rectangle: } w=9, h=3 \Rightarrow A=w \times h = 9 \times 3 = 27$
$\text{Trapezoid: } a=5, b=2, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{5+2}2 \times 2 = 7.0$
$\text{Rectangle: } w=2, h=8 \Rightarrow A=w \times h = 2 \times 8 = 16$</think>
<answer>101</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Trapezoid: } a=4, b=3, h=8 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+3}2 \times 8 = 28.0$
$\text{Square: } s=5 \Rightarrow A=s^2=5^2=25$
$\text{Trapezoid: } a=9, b=1, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{9+1}2 \times 5 = 25.0$
$\text{Rectangle: } w=2, h=1 \Rightarrow A=w \times h = 2 \times 1 = 2$
$\text{Right triangle: } a=4, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 4 \times 5 = 10.0$</think>
<answer>90</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Rectangle: } w=5, h=4 \Rightarrow A=w \times h = 5 \times 4 = 20$
$\text{Trapezoid: } a=4, b=4, h=2 \Rightarrow A=\frac{a+b}2 \times h = \frac{4+4}2 \times 2 = 8.0$
$\text{Square: } s=3 \Rightarrow A=s^2=3^2=9$
$\text{Trapezoid: } a=2, b=7, h=1 \Rightarrow A=\frac{a+b}2 \times h = \frac{2+7}2 \times 1 = 4.5$
$\text{Square: } s=8 \Rightarrow A=s^2=8^2=64$</think>
<answer>106</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Right triangle: } a=9, b=7 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 9 \times 7 = 31.5$
$\text{Right triangle: } a=8, b=1 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 8 \times 1 = 4.0$
$\text{Rectangle: } w=6, h=5 \Rightarrow A=w \times h = 6 \times 5 = 30$
$\text{Rectangle: } w=7, h=6 \Rightarrow A=w \times h = 7 \times 6 = 42$</think>
<answer>108</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Right triangle: } a=7, b=5 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 7 \times 5 = 17.5$
$\text{Right triangle: } a=2, b=2 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 2 = 2.0$
$\text{Trapezoid: } a=7, b=3, h=7 \Rightarrow A=\frac{a+b}2 \times h = \frac{7+3}2 \times 7 = 35.0$
$\text{Rectangle: } w=2, h=7 \Rightarrow A=w \times h = 2 \times 7 = 14$</think>
<answer>68</answer>
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There are 6 shapes on a 5x5 grid. Which shape is closest to the yellow trapezoid in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: yellow trapezoid at (4, 4)
Distance from target shape to red square at (1, 0): 7
Distance from target shape to purple right_triangle at (2, 1): 5
Distance from target shape to gray rectangle at (3, 1): 4
Distance from target shape to pink trapezoid at (1, 2): 5
Distance from target shape to blue square at (1, 3): 4
Closest shape is the gray rectangle at (3, 1) with distance 4</think>
<answer>(3, 1)</answer>
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There are 6 shapes on a 4x4 grid. Which shape is closest to the blue square in terms of Manhattan distance? The final answer is the grid position of the closest shape like (row_index, column_index).
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<think>Target shape: blue square at (0, 3)
Distance from target shape to gray rectangle at (0, 2): 1
Distance from target shape to red square at (3, 0): 6
Distance from target shape to green trapezoid at (1, 0): 4
Distance from target shape to orange rectangle at (0, 0): 3
Distance from target shape to brown rectangle at (3, 1): 5
Closest shape is the gray rectangle at (0, 2) with distance 1</think>
<answer>(0, 2)</answer>
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What is the total area of all shapes shown in the image, please round the result into the nearest integer?
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<think>$\text{Trapezoid: } a=3, b=1, h=5 \Rightarrow A=\frac{a+b}2 \times h = \frac{3+1}2 \times 5 = 10.0$
$\text{Rectangle: } w=3, h=5 \Rightarrow A=w \times h = 3 \times 5 = 15$
$\text{Rectangle: } w=4, h=8 \Rightarrow A=w \times h = 4 \times 8 = 32$
$\text{Rectangle: } w=1, h=9 \Rightarrow A=w \times h = 1 \times 9 = 9$
$\text{Square: } s=7 \Rightarrow A=s^2=7^2=49$
$\text{Right triangle: } a=2, b=8 \Rightarrow A=\frac{1}{2} \times a \times b = \frac{1}{2} \times 2 \times 8 = 8.0$</think>
<answer>123</answer>
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