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in measuring the sides of a rectangle , one side is taken 12 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements . | n0 = 12.0
n1 = 5.0
t0 = n0 * n1
t1 = n0 - n1
t2 = t0 / 100.0
answer = t1 - t2
print(answer) | 6.4 | train | mathqa_geometry.json |
the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % | n0 = 20.0
t0 = n0 + 100.0
t1 = t0 / 100.0
t2 = t1 * t1
t3 = t2 - 1.0
answer = t3 * 100.0
print(answer) | 43.99999999999999 | train | mathqa_geometry.json |
a rectangular lawn of dimensions 100 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? | n0 = 100.0
n1 = 60.0
n2 = 10.0
n3 = 3.0
t0 = n0 + n1
t1 = t0 - n2
t2 = n2 * t1
answer = n3 * t2
print(answer) | 4500 | train | mathqa_geometry.json |
thin rectangular slab of potato was cut into two pieces for an osmosis lab . one piece is 50 mm greater than the other . if the original uncut slab is 600 mm , what is the length of the other piece of the potato after it is cut . | n0 = 50.0
n1 = 600.0
t0 = n1 - n0
answer = t0 / 2.0
print(answer) | 275 | train | mathqa_geometry.json |
in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 12 , 0 ) , ( 0 , - 3.5 ) , ( - 12 , 0 ) ? | n0 = 0.0
n1 = 3.5
n2 = 12.0
n3 = 0.0
n4 = 0.0
n5 = 3.5
n6 = 12.0
n7 = 0.0
t0 = n2 * 2.0
t1 = n1 * 2.0
answer = t0 * t1 / 2
print(answer) | 84 | train | mathqa_geometry.json |
the slant height of a cone is 14 cm and radius of the base is 12 cm , find the curved surface of the cone . | n0 = 14.0
n1 = 12.0
t0 = n1 * 3.141592653589793
answer = n0 * t0
print(answer) | 527.7875658030853 | train | mathqa_geometry.json |
triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 49 , what is the measure of side xy ? | import math
n0 = 49.0
t0 = math.sqrt(max(0, n0))
t1 = math.sqrt(max(0, 2.0))
t2 = t0 * t1
t3 = t2**min(2.0, 5)
t4 = t3 + t3
answer = math.sqrt(max(0, t4))
print(answer) | 14 | train | mathqa_geometry.json |
the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.50 per metre . | import math
n0 = 13.86
n1 = 4.5
t0 = n0 / 3.141592653589793
t1 = math.sqrt(max(0, t0))
t2 = t1 * 100.0
t3 = 2 * math.pi * t2
answer = t3 * n1
print(answer) | 5938.804937425641 | train | mathqa_geometry.json |
if the sides of a triangle are 26 cm , 25 cm and 10 cm , what is its area ? | n0 = 26.0
n1 = 25.0
n2 = 10.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | 125 | train | mathqa_geometry.json |
find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm ? | n0 = 22.0
n1 = 9.0
n2 = 6.0
t0 = n1 + n2
t1 = 1.0 / 2.0
t2 = t0 * t1
answer = n0 * t2
print(answer) | 165 | train | mathqa_geometry.json |
find the area of a parallelogram with base 18 cm and height 10 cm ? | n0 = 18.0
n1 = 10.0
answer = n0 * n1
print(answer) | 180 | train | mathqa_geometry.json |
the parameter of a square is equal to the perimeter of a rectangle of length 24 cm and breadth 16 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) | import math
n0 = 24.0
n1 = 16.0
t0 = 2 * (n0 + n1) # perimetere of rectangle
t1 = t0 / 4. # square edge given perimeter
t2 = t1 / 2.0
t3 = 2 * math.pi * t2
answer = t3 / 2.0
print(answer) | 31.41592653589793 | train | mathqa_geometry.json |
12 points lie on a circle . how many cyclic quadrilaterals can be drawn by using these points ? | import math
n0 = 12.0
t0 = math.factorial(min(15, int(n0)))
t1 = math.factorial(min(15, int(4.0)))
t2 = n0 - 4.0
t3 = math.factorial(min(15, int(t2)))
t4 = t1 * t3
answer = t0 / t4
print(answer) | 495 | train | mathqa_geometry.json |
the radius of the circle is reduced from 5 cm to 4 cm then the % change of area . | import math
n0 = 5.0
n1 = 4.0
t0 = math.pi * n1**2
t1 = math.pi * n0**2
t2 = t0 / t1
t3 = t2 * 100.0
answer = 100.0 - t3
print(answer) | 36 | train | mathqa_geometry.json |
what will be the cost of building a fence around a square plot with area equal to 25 sq ft , if the price per foot of building the fence is rs . 58 ? | import math
n0 = 25.0
n1 = 58.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | 1160 | train | mathqa_geometry.json |
if the length of the longest chord of a certain circle is 24 , what is the radius of that certain circle ? | n0 = 24.0
answer = n0 / 2.0
print(answer) | 12 | train | mathqa_geometry.json |
rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 3 / 4 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? | n0 = 3.0
n1 = 4.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
answer = t0 / t1
print(answer) | 0.5625 | train | mathqa_geometry.json |
the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 14.25 , what is the perimeter of the garden , in feet ? | n0 = 2.0
n1 = 14.25
t0 = n0 * n1
t1 = t0 + 10.0
t2 = t1 - 0.25
answer = t2 - 0.25
print(answer) | 38 | train | mathqa_geometry.json |
a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 7 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? | n0 = 3.0
n1 = 7.0
n2 = 2.0
n3 = 20.0
t0 = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
answer = n3 * t0
print(answer) | 1640 | train | mathqa_geometry.json |
a cube of sides 9 is first painted red and then cut into smaller cubes of side 3 . how many of the smaller cube have painted on exactly 2 sides ? | n0 = 9.0
n1 = 3.0
n2 = 2.0
t0 = n1 + 4.0
t1 = n0 * n1
t2 = n2 * 4.0
t3 = t1 - t0
answer = t3 - t2
print(answer) | 12 | train | mathqa_geometry.json |
the volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is : | n0 = 7.0
t0 = n0 / 2.0
t1 = n0 * 3.0
t2 = t1 + 1.0
t3 = t2 * 1.0
t4 = t0 * t3
t5 = t0 * t4
t6 = n0 * t5
answer = t6 / t1
print(answer) | 89.83333333333333 | train | mathqa_geometry.json |
in an electric circuit , two resistors with resistances 8 ohms and 9 ohms are connected in parallel . in this case , if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of two resistors . what is r value ? | n0 = 8.0
n1 = 9.0
t0 = n0 + n1
t1 = n0 * n1
answer = t1 / t0
print(answer) | 4.235294117647059 | train | mathqa_geometry.json |
the side of a square is increased by 10 % then how much % does its area increases ? | n0 = 10.0
t0 = n0 + 100.0
t1 = 100.0**2
t2 = t0**2
t3 = t2 - t1
t4 = t3 * 100.0
answer = t4 / t1
print(answer) | 21 | train | mathqa_geometry.json |
a square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8 cm and breadth 4 cm . what is the perimeter of the newly formed rectangle ? | n0 = 8.0
n1 = 8.0
n2 = 4.0
t0 = n0 + n2
answer = 2 * (n0 + t0) # perimetere of rectangle
print(answer) | 40 | train | mathqa_geometry.json |
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 6 m , the volume of the box ( in m 3 ) is : | n0 = 48.0
n1 = 36.0
n2 = 6.0
n3 = 3.0
t0 = n2 * 2.0
t1 = n0 - t0
t2 = n1 - t0
answer = n2 * t1 * t2
print(answer) | 5184 | train | mathqa_geometry.json |
the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each . the radius of the sphere is | import math
n0 = 10.0
t0 = n0 / 2.0
t1 = 4.0 * 3.141592653589793
t2 = n0 * t0
t3 = t2 * 3.141592653589793
t4 = t3 * 2.0
t5 = t4 / t1
answer = math.sqrt(max(0, t5))
print(answer) | 5 | train | mathqa_geometry.json |
an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 60 cm , find the sum of the perimeters of all the triangles . | n0 = 2.0
n1 = 1.0
n2 = 3.0
n3 = 2.0
n4 = 1.0
n5 = 60.0
t0 = n5 + n5 + n5 # perimeter of a triangle
answer = t0 + t0
print(answer) | 360 | train | mathqa_geometry.json |
if the sides of a triangle are 36 cm , 34 cm and 20 cm , what is its area ? | n0 = 36.0
n1 = 34.0
n2 = 20.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | 340 | train | mathqa_geometry.json |
rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 4 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ? | n0 = 4.0
n1 = 5.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
answer = t0 / t1
print(answer) | 0.64 | train | mathqa_geometry.json |
the perimeter of one square is 24 m & that of another is 32 m . perimeter of a square whose area is equal to the sum of the areas of the 2 squares will be | import math
n0 = 24.0
n1 = 32.0
n2 = 2.0
t0 = n0 / 4.0
t1 = n1 / 4.0
t2 = t0**2
t3 = t1**2
t4 = t2 + t3
t5 = math.sqrt(max(0, t4))
answer = t5 * 4.0
print(answer) | 40 | train | mathqa_geometry.json |
volume of a right circular cylinder is 6 o l . if radius of cylinder is doubled , then what will be the increase in volume ? | n0 = 6.0
t0 = n0 * 10.0
t1 = t0 * 4.0
answer = t1 - t0
print(answer) | 180 | train | mathqa_geometry.json |
a 10 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ? | n0 = 10.0
n1 = 4.0
t0 = 2.0 / n0
answer = t0 * 2.0
print(answer) | 0.4 | train | mathqa_geometry.json |
points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction s of the area of triangle abc is the area of triangle xyz ? | n0 = 2.0
n1 = 0.0
n2 = 8.0
n3 = 12.0
n4 = 14.0
n5 = 0.0
n6 = 6.0
n7 = 0.0
n8 = 8.0
n9 = 4.0
n10 = 10.0
n11 = 0.0
t0 = 10.0 + 2.0
t1 = 4.0**min(2.0, 5)
t2 = t1 / 2.0
t3 = t0**min(2.0, 5)
t4 = t3 / 2.0
answer = t2 / t4
print(answer) | 0.1111111111111111 | train | mathqa_geometry.json |
a squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . how many feet does the squirrel travels if the post is 16 feet tall and 2 feet in circumference ? | n0 = 4.0
n1 = 16.0
n2 = 2.0
t0 = n1 / n0
answer = n2 * t0
print(answer) | 8 | train | mathqa_geometry.json |
in the rectangular coordinate system , points ( 4 , 0 ) and ( – 4 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c | import math
n0 = 4.0
n1 = 0.0
n2 = 4.0
n3 = 0.0
t0 = n0**min(2.0, 5)
answer = math.sqrt(max(0, t0))
print(answer) | 4 | train | mathqa_geometry.json |
the side of a rhombus is 24 m and length of one of its diagonals is 18 m . the area of the rhombus is ? | import math
n0 = 24.0
n1 = 18.0
t0 = n0 * 2.0
t1 = n1**min(2.0, 5)
t2 = t0**min(2.0, 5)
t3 = t2 - t1
t4 = math.sqrt(max(0, t3))
t5 = n1 * t4
answer = t5 / 2.0
print(answer) | 400.4747183031658 | train | mathqa_geometry.json |
if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer , then g must be | n0 = 3150.0
t0 = 2.0 + 3.0
t1 = n0 / 2.0
t2 = t1 / t0
t3 = t2 / t0
t4 = t3 / 3.0
t5 = t4 / 3.0
answer = t5 * 2.0
print(answer) | 14 | train | mathqa_geometry.json |
in a triangle abc , point d is on side ab and point e is on side ac , such that bced is a trapezium . de : bc = 3 : 5 . calculate the ratio of the area of triangle ade and the trapezium bced . | n0 = 3.0
n1 = 5.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t1 - t0
answer = t0 / t2
print(answer) | 0.5625 | train | mathqa_geometry.json |
if radius of a circle is diminished by 10 % then its area is diminished by | import math
n0 = 10.0
t0 = math.pi * 1.0**2
t1 = n0 / 100.0
t2 = 1.0 - t1
t3 = math.pi * t2**2
t4 = t0 - t3
t5 = t4 / t0
answer = t5 * 100.0
print(answer) | 18.999999999999993 | train | mathqa_geometry.json |
the ratio of the areas of two squares , one having double its diagonal then the other is : | t0 = 1 / 2.0
t1 = t0 * 4.0
answer = t1 / t0
print(answer) | 4 | train | mathqa_geometry.json |
find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 9 cm and 6 cm ? | n0 = 40.0
n1 = 9.0
n2 = 6.0
t0 = n1 + n2
t1 = 1.0 / 2.0
t2 = t0 * t1
answer = n0 * t2
print(answer) | 300 | train | mathqa_geometry.json |
50 square stone slabs of equal size were needed to cover a floor area of 72 sq . m . find the length of each stone slab ? | import math
n0 = 50.0
n1 = 72.0
t0 = n1 / n0
t1 = math.sqrt(max(0, t0))
answer = t1 * 100.0
print(answer) | 120 | train | mathqa_geometry.json |
a certain rectangular crate measures 8 feet by 12 feet by 14 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ? | import math
n0 = 8.0
n1 = 12.0
n2 = 14.0
t0 = n1 / 2.0
t1 = n0 * 3.141592653589793
t2 = math.pi * t0**2 * n0
t3 = t2 / t1
answer = math.sqrt(max(0, t3))
print(answer) | 6 | train | mathqa_geometry.json |
an entry in an unshaded square is obtained by adding the entries connected to it from the row above ( 11 is one such number ) . write the value of n ? | n0 = 11.0
t0 = n0 * 3.0
t1 = t0 - 3.0
answer = t1 / 3.0
print(answer) | 10 | train | mathqa_geometry.json |
a cube has a volume of 343 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? | n0 = 343.0
t0 = n0**(1 / 3)
t1 = t0 * 2.0
answer = t1**3
print(answer) | 2743.999999999999 | train | mathqa_geometry.json |
cubes with each side one inch long are glued together to form a larger cube . the larger cube ' s face is painted with red color and the entire assembly is taken apart . 26 small cubes are found with no paints on them . how many of unit cubes have at least one face that is painted red ? | n0 = 26.0
t0 = 1.0 + 3.0
t1 = t0 + 1.0
t2 = t1**min(3.0, 5)
answer = t2 - n0
print(answer) | 99 | train | mathqa_geometry.json |
triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 36 , what is the measure of side xy ? | import math
n0 = 36.0
t0 = math.sqrt(max(0, n0))
t1 = math.sqrt(max(0, 2.0))
t2 = t0 * t1
t3 = t2**min(2.0, 5)
t4 = t3 + t3
answer = math.sqrt(max(0, t4))
print(answer) | 12.000000000000002 | train | mathqa_geometry.json |
ratio between length and breath of a rectangle is 25 : 16 . the area of the rectangle is same with a square whose side is 200 . find the breadth and length of the rectangle ? | import math
n0 = 25.0
n1 = 16.0
n2 = 200.0
t0 = n0 * n1
t1 = n2**2
t2 = t1 / t0
t3 = math.sqrt(max(0, t2))
t4 = n1 * t3
t5 = n0 * t3
t6 = t4 * 1000.0
answer = t6 + t5
print(answer) | 160250 | train | mathqa_geometry.json |
if there is one larger cube with surface area 600 and no . of smaller cubes with surface area 24 . then how many small cubes are required to make a larger cube with surface area of 600 ? | import math
n0 = 600.0
n1 = 24.0
n2 = 600.0
t0 = n0 / 100.0
t1 = n0 / t0
t2 = n1 / t0
t3 = math.sqrt(max(0, t1))
t4 = math.sqrt(max(0, t2))
t5 = t3 / t4
answer = t5**3
print(answer) | 125 | train | mathqa_geometry.json |
a circular ground whose radius is 15 metres , has a 1.2 metre - broad garden around it . what is the area of the garden in square metres ? | import math
n0 = 15.0
n1 = 1.2
t0 = n0 + n1
t1 = math.pi * n0**2
t2 = math.pi * t0**2
answer = t2 - t1
print(answer) | 117.62122895040181 | train | mathqa_geometry.json |
the side of a rhombus is 26 m and length of one of its diagonals is 20 m . the area of the rhombus is ? | import math
n0 = 26.0
n1 = 20.0
t0 = n0 * 2.0
t1 = n1**min(2.0, 5)
t2 = t0**min(2.0, 5)
t3 = t2 - t1
t4 = math.sqrt(max(0, t3))
t5 = n1 * t4
answer = t5 / 2.0
print(answer) | 480 | train | mathqa_geometry.json |
the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 75 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? | n0 = 100.0
n1 = 75.0
t0 = n0 / n0
t1 = t0 + 1.0
t2 = n1 * t1
t3 = t1**2
t4 = t3 + 1.0
t5 = t2 / n0
t6 = t1 + t5
t7 = t6**2
t8 = t7 - 1.0
t9 = t8 - 4.0
t10 = t9 / t4
answer = n0 * t10
print(answer) | 145 | train | mathqa_geometry.json |
the area of the largest circle that can be drawn inside a rectangle with sides 18 cm by 14 cm is | import math
n0 = 18.0
n1 = 14.0
t0 = n1 / 2.0
answer = math.pi * t0**2
print(answer) | 153.93804002589985 | train | mathqa_geometry.json |
the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 squares feet , how much will it cost to paint outside of a cube having 8 feet each side ? | n0 = 36.5
n1 = 1.0
n2 = 16.0
n3 = 8.0
t0 = 6 * n3**2 # surface of a cube
t1 = t0 / n2
answer = n0 * t1
print(answer) | 876 | train | mathqa_geometry.json |
find the circumference and area of radius 4 cm . | import math
n0 = 4.0
answer = math.pi * n0**2
print(answer) | 50.26548245743669 | train | mathqa_geometry.json |
a circular well with a diameter of 2 metres , is dug to a depth of 8 metres . what is the volume of the earth dug out ? | import math
n0 = 2.0
n1 = 8.0
t0 = n0 / n0
answer = math.pi * t0**2 * n1
print(answer) | 25.132741228718345 | train | mathqa_geometry.json |
what is the ratio between perimeters of two squares one having 7 times the diagonal then the other ? | n0 = 7.0
t0 = n0 / n0
answer = n0 / t0
print(answer) | 7 | train | mathqa_geometry.json |
square a has an area of 65 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? | n0 = 65.0
n1 = 16.0
t0 = n1 / 4.0
t1 = t0**min(2.0, 5)
t2 = n0 - t1
answer = t2 / n0
print(answer) | 0.7538461538461538 | train | mathqa_geometry.json |
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 560 sq . feet , how many feet of fencing will be required ? | n0 = 20.0
n1 = 560.0
t0 = n1 / n0
t1 = t0 * 2.0
answer = n0 + t1
print(answer) | 76 | train | mathqa_geometry.json |
how many internal diagonals does a octagon ( eight sided polygon ) have ? | t0 = 2.0 * 4.0
t1 = t0 / 2.0
t2 = t0 - 3.0
answer = t1 * t2
print(answer) | 20 | train | mathqa_geometry.json |
the length of rectangle is thrice its breadth and its perimeter is 48 m , find the area of the rectangle ? | n0 = 48.0
t0 = 2.0 * 3.0
t1 = 1.0 * 2.0
t2 = t0 + t1
t3 = n0 / t2
t4 = t3 * 3.0
answer = t3 * t4
print(answer) | 108 | train | mathqa_geometry.json |
the perimeter of a triangle is 48 cm and the in radius of the triangle is 2.5 cm . what is the area of the triangle ? | n0 = 48.0
n1 = 2.5
answer = n0 * n1 / 2
print(answer) | 60 | train | mathqa_geometry.json |
what will be the cost of house to paint which area equal to 484 sq ft , if the price per foot of building is rs . 20 | import math
n0 = 484.0
n1 = 20.0
t0 = math.sqrt(max(0, n0))
t1 = t0 * 4.0
answer = n1 * t1
print(answer) | 1760 | train | mathqa_geometry.json |
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 38 ° is ? | n0 = 12.0
n1 = 38.0
t0 = 3.0 + 4.0
t1 = 3600.0 / 10.0
t2 = 10.0 * 2.0
t3 = n0**min(2.0, 5)
t4 = t2 + 2.0
t5 = n1 / t1
t6 = t4 / t0
t7 = t6 * t3
answer = t5 * t7
print(answer) | 47.77142857142857 | train | mathqa_geometry.json |
if the sides of a triangle are 65 cm , 60 cm and 25 cm , what is its area ? | n0 = 65.0
n1 = 60.0
n2 = 25.0
t0 = n1 * n2
answer = t0 / 2.0
print(answer) | 750 | train | mathqa_geometry.json |
the length of a rectangle is three times of its width . if the length of the diagonal is 8 √ 10 then find the perimeter of the rectangle . | import math
n0 = 8.0
n1 = 10.0
t0 = n0**min(2.0, 5)
t1 = math.sqrt(max(0, t0))
t2 = t1 * 3.0
t3 = t2 + t1
answer = t3 * 2.0
print(answer) | 64 | train | mathqa_geometry.json |
each side of a rectangular field diminished by 40 % . by how much per cent is the area of the field diminished ? | n0 = 40.0
t0 = 100.0 * 100.0
t1 = 100.0 - n0
t2 = t1 * t1
t3 = t0 - t2
t4 = t3 / t0
answer = t4 * 100.0
print(answer) | 64 | train | mathqa_geometry.json |
if a number is subtracted from its square we get 272 . find the number ? | import math
n0 = 272.0
t0 = n0 * 4.0
t1 = t0 + 1.0
t2 = math.sqrt(max(0, t1))
t3 = t2 + 1.0
answer = t3 / 2.0
print(answer) | 17 | train | mathqa_geometry.json |
the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.40 per metre . | import math
n0 = 13.86
n1 = 4.4
t0 = n0 / 3.141592653589793
t1 = math.sqrt(max(0, t0))
t2 = t1 * 100.0
t3 = 2 * math.pi * t2
answer = t3 * n1
print(answer) | 5806.831494371739 | train | mathqa_geometry.json |
the diagonals of a rhombus are 11 cm and 16 cm . find its area ? | n0 = 11.0
n1 = 16.0
answer = n0 * n1 / 2
print(answer) | 88 | train | mathqa_geometry.json |
find the perimeter of a triangle with sides measuring 7 centimeters , 10 centimeters and 15 centimeters . | n0 = 7.0
n1 = 10.0
n2 = 15.0
answer = n0 + n1 + n2 # perimeter of a triangle
print(answer) | 32 | train | mathqa_geometry.json |
two isosceles triangles have equal vertical angles and their areas are in the ratio 25 : 49 . find the ratio of their corresponding heights . | import math
n0 = 25.0
n1 = 49.0
t0 = math.sqrt(max(0, n0))
t1 = math.sqrt(max(0, n1))
answer = t0 / t1
print(answer) | 0.7142857142857143 | train | mathqa_geometry.json |
mr . loyd wants to fence his square shaped land of 150 sqft each side . if a pole is laid every 30 ft how many poles do he need ? | n0 = 150.0
n1 = 30.0
t0 = n0 * 4.0
t1 = t0 / 10.0
answer = t1 / 2.0
print(answer) | 30 | train | mathqa_geometry.json |
the parameter of a square is equal to the perimeter of a rectangle of length 8 cm and breadth 6 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . | import math
n0 = 8.0
n1 = 6.0
t0 = 2 * (n0 + n1) # perimetere of rectangle
t1 = t0 / 4. # square edge given perimeter
t2 = t1 / 2.0
t3 = 2 * math.pi * t2
answer = t3 / 2.0
print(answer) | 10.995574287564276 | train | mathqa_geometry.json |
in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 14 feet between each tree . how many trees can be planted if the road is 151 feet long ? | n0 = 14.0
n1 = 151.0
t0 = n0 + 1.0
t1 = n1 - 1.0
t2 = t1 / t0
answer = t2 + 1.0
print(answer) | 11 | train | mathqa_geometry.json |
what is the perimeter , in meters , of a rectangular garden 12 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? | n0 = 12.0
n1 = 16.0
n2 = 12.0
t0 = n1 * n2 # area of rectangle
t1 = t0 / n0
answer = 2 * (n0 + t1) # perimetere of rectangle
print(answer) | 56 | train | mathqa_geometry.json |
a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 45 - sided polygon have ? | n0 = 45.0
t0 = n0 - 3.0
t1 = n0 * t0
answer = t1 / 2.0
print(answer) | 945 | train | mathqa_geometry.json |
what is the maximum number t of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? | n0 = 27.0
n1 = 8.0
n2 = 9.0
n3 = 12.0
t0 = n0**(1 / 3)
t1 = 2.0 * 3.0
t2 = n3 / t0
t3 = t1 / t0
t4 = n2 / t0
t5 = t3 * t4
answer = t2 * t5
print(answer) | 24 | train | mathqa_geometry.json |
the edge of a cube is 4 a cm . find its surface ? | n0 = 4.0
answer = 6 * n0**2 # surface of a cube
print(answer) | 96 | train | mathqa_geometry.json |
the length and breadth of a rectangle is increased by 11 % and 22 % respectively . what is the increase in the area ? | n0 = 11.0
n1 = 22.0
t0 = n0 + 100.0
t1 = n1 + 100.0
t2 = 100.0 * 100.0 # area of rectangle
t3 = t0 * t1 # area of rectangle
t4 = t3 - t2
t5 = t4 * 100.0
answer = t5 / t2
print(answer) | 35.42 | train | mathqa_geometry.json |
a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 70 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? | n0 = 1.0
n1 = 3.0
n2 = 70.0
t0 = n2 * n1
t1 = t0 / 2.0
t2 = n1 * t1
answer = n2 + t2
print(answer) | 385 | train | mathqa_geometry.json |
the circumferences of two circles are 132 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ? | import math
n0 = 132.0
n1 = 352.0
t0 = 2.0 * 3.141592653589793
t1 = n1 / t0
t2 = n0 / t0
t3 = math.pi * t1**2
t4 = math.pi * t2**2
answer = t3 - t4
print(answer) | 8473.409170212508 | train | mathqa_geometry.json |
if the perimeter and diagonal of a rectangle are 14 and 5 cms respectively , find its area . | n0 = 14.0
n1 = 5.0
t0 = n0 / 2.0
t1 = n1**min(2.0, 5)
t2 = t0**min(2.0, 5)
t3 = t2 - t1
answer = t3 / 2.0
print(answer) | 12 | train | mathqa_geometry.json |
a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 90 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? | n0 = 1.0
n1 = 3.0
n2 = 90.0
t0 = n2 * n1
t1 = t0 / 2.0
t2 = n1 * t1
answer = n2 + t2
print(answer) | 495 | train | mathqa_geometry.json |
the side of a cube is 12 m , find the lateral surface area ? | n0 = 12.0
t0 = 10.0 * 4.0
t1 = t0 + 3.0
answer = n0 * t1 # area of rectangle
print(answer) | 516 | train | mathqa_geometry.json |
we have a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 120 inches and the width is 108 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? | n0 = 120.0
n1 = 108.0
n2 = 1.0
n3 = 12.0
t0 = n0**(1 / 3)
answer = n0 + t0
print(answer) | 124.93242414866094 | train | mathqa_geometry.json |
the volume of a cube is 1000 cc . find its surface . | n0 = 1000.0
t0 = n0**(1 / 3)
answer = 6 * t0**2 # surface of a cube
print(answer) | 599.9999999999998 | train | mathqa_geometry.json |
a circular well with a diameter of 2 meters , is dug to a depth of 14 meters . what is the volume of the earth dug out . | import math
n0 = 2.0
n1 = 14.0
t0 = n0 / 2.0
answer = math.pi * t0**2 * n1
print(answer) | 43.982297150257104 | train | mathqa_geometry.json |
the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 18 of the area of the field . what is the length of the field ? | import math
n0 = 8.0
n1 = 1.0
n2 = 18.0
t0 = 1 / 2.0
t1 = n0**2
t2 = n2 * t1
t3 = t2 / t0
answer = math.sqrt(max(0, t3))
print(answer) | 48 | train | mathqa_geometry.json |
unit size cubes are stacked inside a big rectangular box having dimensions corresponding to three consecutive multiples of 5 . choose exact number of cubes that can completely fill the box . | n0 = 5.0
t0 = n0 * 2.0
t1 = n0 * 3.0
t2 = 1.0**3
t3 = n0 * t0 * t1
answer = t3 / t2
print(answer) | 750 | train | mathqa_geometry.json |
what is the maximum number q of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ? | n0 = 27.0
n1 = 8.0
n2 = 9.0
n3 = 12.0
t0 = 2.0 * 3.0
t1 = n2 * n3 * t0
answer = t1 / n0
print(answer) | 24 | train | mathqa_geometry.json |
what is the % change in the area of a rectangle when its length increases by 30 % and its width decreases by 30 % ? | n0 = 30.0
n1 = 30.0
t0 = n0 + 100.0
t1 = 100.0 - n0
t2 = t0 * t1
t3 = t2 / 100.0
answer = 100.0 - t3
print(answer) | 9 | train | mathqa_geometry.json |
what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 58 ? | import math
n0 = 289.0
n1 = 58.0
t0 = math.sqrt(max(0, n0))
t1 = 4 * t0
answer = n1 * t1
print(answer) | 3944 | train | mathqa_geometry.json |
the ratio of male to female in a class is 2 : 3 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one of the males and one of the females in the class ? | n0 = 2.0
n1 = 3.0
t0 = n0 + n1
t1 = 1.0 / n1
t2 = n1 / t0
t3 = t2 * 360.0
answer = t1 * t3
print(answer) | 72 | train | mathqa_geometry.json |
the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 24 - inch flat - screen television than a square 17 - inch flat - screen television ? | n0 = 24.0
n1 = 17.0
t0 = n0**min(2.0, 5)
t1 = n1**min(2.0, 5)
t2 = t0 / 2.0
t3 = t1 / 2.0
answer = t2 - t3
print(answer) | 143.5 | train | mathqa_geometry.json |
a rectangular tank needs to be coated with insulation . the tank has dimensions of 3 feet , 5 feet , and 2 feet . each square foot of insulation costs $ 20 . how much will it cost to cover the surface of the tank with insulation ? | n0 = 3.0
n1 = 5.0
n2 = 2.0
n3 = 20.0
t0 = 2 * (n0 * n1 + n0 * n2 + n1 * n2) # surface of a rectangular prism
answer = n3 * t0
print(answer) | 1240 | train | mathqa_geometry.json |
a semicircular cubicle has a radius of 14 . what is the approximate perimeter of the cubicle ? | n0 = 14.0
t0 = n0 * 3.141592653589793
t1 = n0 * 2.0
answer = t0 + t1
print(answer) | 71.9822971502571 | train | mathqa_geometry.json |
the length of a rectangular field is 7 / 5 its width . if the perimeter of the field is 240 meters , what is the width of the field ? | n0 = 7.0
n1 = 5.0
n2 = 240.0
t0 = n0 / n1
t1 = t0 + t0
t2 = t1 + 2.0
answer = n2 / t2
print(answer) | 50 | train | mathqa_geometry.json |
rectangular tile each of size 45 cm by 50 cm must be laid horizontally on a rectangular floor of size 250 cm by 180 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : | n0 = 45.0
n1 = 50.0
n2 = 250.0
n3 = 180.0
t0 = n2 * n3
t1 = n0 * n1
answer = t0 / t1
print(answer) | 20 | train | mathqa_geometry.json |
a water tank , having the shape of a rectangular prism of base 100 square centimeters , is being filled at the rate of 1 liter per minute . find the rate at which the height of the water in the water tank increases . express your answer in centimeters per minute . | n0 = 100.0
n1 = 1.0
answer = 1000.0 / n0
print(answer) | 10 | train | mathqa_geometry.json |
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