Claude-3 Haiku on 3.MD.D.8-quadrilateral
Common Core Standard 3.MD.D.8-quadrilateral
This standard covers the following:
Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Problem: The perimeter of a rectangular swimming pool is 324 meters. The length of the pool is 83 meters. What is the width of the pool?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a rectangle is given by the formula: P = 2(length) + 2(width) 2) We are given that the perimeter is 324 meters and the length is 83 meters. 3) Substituting the values, we get: 324 = 2(83) + 2(width) 324 = 166 + 2(width) 158 = 2(width) width = 158/2 width = 79 meters ### Answer: 79 meters
Expected answer: 79
Correct? Yes
Problem: A square has a perimeter of 40m. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 40m. 4) Plugging this into the formula, we get: 40 = 4s 5) Solving for s, we get: s = 40/4 = 10m 6) Therefore, the length of each side of the square is 10m. ### Answer: 10m
Expected answer: 10
Correct? Yes
Problem: A square has a perimeter of 344m. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 344m. 4) Plugging this into the formula, we get: 344 = 4s 5) Solving for s, we get: s = 344/4 s = 86m ### Answer: 86m
Expected answer: 86
Correct? Yes
Problem: A square has a perimeter of 348m. What would be the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of each side as 'x'. * The perimeter of a square is given by the formula: 4x * We are told that the perimeter of the square is 348m, so we can set up the equation: 4x = 348 * Solving for x, we get: x = 348/4 x = 87 Therefore, the length of each side of the square is 87m. ### Answer: 87m
Expected answer: 87
Correct? Yes
Problem: A rectangle has a perimeter of 194 cm. The length of one of its sides is 49 cm. Can you determine the length of its other side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The rectangle has a perimeter of 194 cm * The length of one of its sides is 49 cm * To find the length of the other side, we can use the formula for the perimeter of a rectangle: Perimeter = 2 x (length + width) * Plugging in the given information: 194 = 2 x (49 + width) * Solving for the width: 194 = 98 + 2 x width 96 = 2 x width width = 48 cm ### Answer: 48 cm
Expected answer: 48
Correct? Yes
Problem: A square has a perimeter of 192m. What is the length of one side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) Since all sides of a square are equal, we can represent the length of one side as x. 3) The perimeter of a square is given by the formula: Perimeter = 4 * x 4) We are given that the perimeter is 192m, so we can set up the equation: 4 * x = 192 5) Solving for x, we get: x = 192 / 4 x = 48 ### Answer: 48m
Expected answer: 48
Correct? Yes
Problem: A square has a perimeter of 68cm. What is the length of one side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * A square has 4 equal sides * The perimeter of a square is the sum of the lengths of all 4 sides * So, if the perimeter is 68 cm, and all 4 sides are equal, then: * 4 x side length = 68 cm * Solving for the side length: * Side length = 68 cm / 4 * Side length = 17 cm ### Answer: 17 cm
Expected answer: 17
Correct? Yes
Problem: A rectangle has a perimeter of 52 meters. If one of the sides measures 4 meters, how long is the other side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the rectangle is 52 meters. * The perimeter of a rectangle is the sum of all four sides. * One of the sides measures 4 meters. * Let's call the other side x. * The perimeter equation is: 2 * (4 + x) = 52 * Solving for x: * 2 * (4 + x) = 52 * 8 + 2x = 52 * 2x = 44 * x = 22 Therefore, the length of the other side is 22 meters. ### Answer: 22 meters.
Expected answer: 22
Correct? Yes
Problem: A quadrilateral has a perimeter of 229m. Two sides of the quadrilateral have lengths of 93m and 98m respectively. The third side of the quadrilateral is 36m long. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral with a perimeter of 229m. 2) Two sides of the quadrilateral have lengths of 93m and 98m. 3) The third side of the quadrilateral is 36m long. 4) To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all side lengths 229m = 93m + 98m + 36m + x 229m = 227m + x x = 229m - 227m x = 2m ### Answer: 2m
Expected answer: 2
Correct? Yes
Problem: The perimeter of a square is 16m. What is the length of each side of this square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 16m. 4) Plugging this into the formula, we get: 16 = 4s 5) Solving for s, we get: s = 16/4 = 4m 6) Therefore, the length of each side of the square is 4m. ### Answer: 4m
Expected answer: 4
Correct? Yes
Problem: A square has a perimeter of 272m. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. * We are given that the perimeter of the square is 272m. * Plugging this into the formula, we get: * 272 = 4s * Solving for s, we get: * s = 272/4 * s = 68m ### Answer: 68m
Expected answer: 68
Correct? Yes
Problem: A square has a perimeter of 244m. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of each side as 's'. * The perimeter formula for a square is: Perimeter = 4 * s * We are given that the perimeter is 244m, so we can plug that in: * 244 = 4 * s * Solving for s, we get: * s = 244 / 4 * s = 61m ### Answer: 61m
Expected answer: 61
Correct? Yes
Problem: A quadrilateral has a perimeter of 227m. The lengths of three of its sides are 70m, 29m, and 61m. What is the length of the fourth side of the quadrilateral?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral with a perimeter of 227m. 2) The lengths of three of its sides are 70m, 29m, and 61m. 3) To find the length of the fourth side, we need to add up the lengths of the three given sides and then subtract that sum from the total perimeter. 4) 70m + 29m + 61m = 160m 5) The perimeter is 227m, so the length of the fourth side must be: 227m - 160m = 67m ### Answer: 67m
Expected answer: 67
Correct? Yes
Problem: A square has a perimeter of 280m. What is the length of the side of that square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of each side as 's'. * The perimeter of a square is given by the formula: Perimeter = 4s * We are given that the perimeter of the square is 280m. * Substituting this into the formula, we get: * 280 = 4s * Solving for s, we get: * s = 280/4 = 70m ### Answer: 70m
Expected answer: 70
Correct? Yes
Problem: A quadrilateral has a perimeter of 219cm. Two of its sides have lengths of 37cm and 98cm, and a third side is known to be 41cm. How long is the fourth side?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has a perimeter of 219cm * Two of its sides have lengths of 37cm and 98cm * A third side is known to be 41cm To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all side lengths We know the lengths of 3 sides: * 37cm * 98cm * 41cm So we can add these up: 37cm + 98cm + 41cm = 176cm Now, we can use the perimeter formula to find the length of the fourth side: Perimeter = 219cm Sum of 3 known sides = 176cm Length of fourth side = Perimeter - Sum of 3 known sides Length of fourth side = 219cm - 176cm = 43cm ### Answer: 43cm
Expected answer: 43
Correct? Yes
Problem: A square has a perimeter of 44m. Can you calculate the length of one side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * A square has 4 equal sides * The perimeter of a square is the sum of the lengths of all 4 sides * The perimeter of this square is 44m * Let's call the length of one side 'x' * The perimeter formula for a square is: 4x * We know the perimeter is 44m, so we can set up the equation: 4x = 44 * Solving for x, we get: x = 44/4 x = 11 ### Answer: 11m
Expected answer: 11
Correct? Yes
Problem: A rectangular garden has a perimeter of 282 meters. The longer side measures 71 meters. What is the length of the shorter side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the rectangular garden is 282 meters. * The longer side of the garden measures 71 meters. * To find the length of the shorter side, we can use the formula for the perimeter of a rectangle: Perimeter = 2 x (length + width) * Plugging in the values we know: 282 = 2 x (71 + width) * Solving for the width (shorter side): 282 = 142 + 2 x width 140 = 2 x width width = 70 meters ### Answer: 70 meters
Expected answer: 70
Correct? Yes
Problem: A rectangular garden has a total perimeter of 128 meters. If the shorter side of the garden has a length of 57 meters, how long is the other side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The total perimeter of the rectangular garden is 128 meters. * The shorter side of the garden has a length of 57 meters. * To find the length of the other side, we can use the formula for the perimeter of a rectangle: Perimeter = 2 x (length + width) * Plugging in the values we know: 128 = 2 x (57 + width) * Solving for the width: 128 = 114 + 2 x width 2 x width = 128 - 114 2 x width = 14 width = 7 ### Answer: 7 meters
Expected answer: 7
Correct? Yes
Problem: A square has a perimeter of 392m. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 392m. 4) Plugging this into the formula, we get: 392 = 4s 5) Solving for s, we get: s = 392/4 s = 98m ### Answer: 98m
Expected answer: 98
Correct? Yes
Problem: A rectangle has a perimeter of 204m. If one of its sides has a length of 16m, what is the length of the other side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the rectangle is 204m * One of the sides has a length of 16m * To find the length of the other side, we can use the formula for the perimeter of a rectangle: Perimeter = 2 x (length + width) * Plugging in the values we know: 204 = 2 x (16 + width) * Solving for the width: 204 = 32 + 2 x width 172 = 2 x width width = 86m ### Answer: 86m
Expected answer: 86
Correct? Yes
Problem: A square has a perimeter of 336cm. What is the length of one of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of one side as x. * The perimeter of a square is 4 times the length of one side. * So, the perimeter equation is: 4x = 336 * Solving for x, we get: x = 336/4 = 84 ### Answer: 84 cm
Expected answer: 84
Correct? Yes
Problem: A square has a perimeter of 144 meters. What is the length of one side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of one side as x. * The perimeter of a square is given by the formula: Perimeter = 4 x * We are told that the perimeter of this square is 144 meters. * So we can set up the equation: 4x = 144 * Solving for x, we get: x = 144/4 = 36 meters ### Answer: 36 meters
Expected answer: 36
Correct? Yes
Problem: A quadrilateral has a perimeter of 236 cm. Two of its sides measure 69 cm and 50 cm respectively, and a third side measures 39 cm. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral with a perimeter of 236 cm. 2) Two of the sides measure 69 cm and 50 cm. 3) The third side measures 39 cm. 4) To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all sides 236 cm = 69 cm + 50 cm + 39 cm + x cm 236 cm = 158 cm + x cm x cm = 236 cm - 158 cm x cm = 78 cm ### Answer: 78 cm
Expected answer: 78
Correct? Yes
Problem: A quadrilateral has a perimeter of 193cm. Two of its sides measure 37cm and 14cm, while the other two sides measure 73cm and an unknown length. What is the length of the side of the quadrilateral that is unknown?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has a perimeter of 193cm * Two of its sides measure 37cm and 14cm * The other two sides measure 73cm and an unknown length To find the unknown length, we can use the formula for the perimeter of a quadrilateral: Perimeter = Sum of all four sides So, we have: 193cm = 37cm + 14cm + 73cm + unknown length Rearranging the equation to solve for the unknown length: 193cm = 37cm + 14cm + 73cm + unknown length unknown length = 193cm - (37cm + 14cm + 73cm) unknown length = 193cm - 124cm unknown length = 69cm ### Answer: 69cm
Expected answer: 69
Correct? Yes
Problem: A square has a perimeter of 160m. What is the length of one of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of one side as x. * The perimeter of a square is given by the formula: Perimeter = 4 x * We are told that the perimeter of this square is 160m, so we can set up the equation: * 4x = 160 * Solving for x, we get: * x = 160/4 * x = 40 Therefore, the length of one side of the square is 40m. ### Answer: 40m
Expected answer: 40
Correct? Yes
Problem: A rectangle has a perimeter of 228 meters. The length of the rectangle is 90 meters. What is the width of the rectangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the rectangle is 228 meters * The length of the rectangle is 90 meters * The formula for the perimeter of a rectangle is: 2 x (length + width) * Plugging in the given information, we get: * 228 = 2 x (90 + width) * 228 = 180 + 2 x width * 48 = 2 x width * Width = 48 / 2 * Width = 24 meters ### Answer: 24 meters
Expected answer: 24
Correct? Yes
Problem: The perimeter of a square field is 136 meters. Given that all sides are equal in a square, What is the length of one side of the field?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of one side. 3) We are given that the perimeter of the square field is 136 meters. 4) Plugging this into the formula, we get: 136 = 4s s = 136/4 s = 34 meters ### Answer: 34 meters
Expected answer: 34
Correct? Yes
Problem: A rectangle has a total perimeter of 236 meters. If one side of the rectangle is 43 meters, can you determine the length of the opposite side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The total perimeter of the rectangle is 236 meters. * One side of the rectangle is 43 meters. * To find the length of the opposite side, we can use the formula for the perimeter of a rectangle: Perimeter = 2 * (length + width) * Substituting the given information: 236 = 2 * (43 + width) * Solving for width: 236 = 86 + 2 * width 150 = 2 * width width = 75 meters ### Answer: 75 meters
Expected answer: 75
Correct? Yes
Problem: A quadrilateral has a perimeter of 206m. Two of its sides together have a length of 58m, and the other two sides together have a length of 54m and 1m, respectively. What is the length of the missing portion of the perimeter?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has a perimeter of 206m * Two of its sides together have a length of 58m * The other two sides together have a length of 54m and 1m To find the length of the missing portion of the perimeter, we need to: 1. Calculate the total length of the known sides 2. Subtract that total from the perimeter to get the length of the missing portion Step 1: Calculate the total length of the known sides * 58m + 54m + 1m = 113m Step 2: Subtract the total length of the known sides from the perimeter * Perimeter = 206m * Total length of known sides = 113m * Missing portion = 206m - 113m = 93m ### Answer: 93m
Expected answer: 93
Correct? Yes
Problem: A square field has a total perimeter of 284 meters. How long is each side of the square field?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know that the field is a square, which means all four sides are equal in length. 2) The total perimeter of the square field is 284 meters. 3) The formula for the perimeter of a square is: Perimeter = 4 x side length 4) So we can set up the equation: 284 = 4 x side length 5) Solving for the side length, we get: 284 / 4 = side length 6) Therefore, the length of each side of the square field is 71 meters. ### Answer: 71 meters
Expected answer: 71
Correct? Yes
Problem: A rectangle has a perimeter of 150 feet. If the length of the rectangle is 69 feet, what is the width of the rectangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a rectangle is given by the formula: 2 * (length + width) 2) We are given that the perimeter is 150 feet, and the length is 69 feet. 3) Plugging these values into the formula, we get: 2 * (69 + width) = 150 4) Solving for the width, we get: 138 + 2 * width = 150 2 * width = 12 width = 6 feet ### Answer: 6 feet
Expected answer: 6
Correct? Yes
Problem: The perimeter of a rectangle is 166m. If one of the sides measures 35m, how long is the other side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a rectangle is the sum of all four sides. 2) The formula for the perimeter of a rectangle is: P = 2(length) + 2(width) 3) We are given that the perimeter is 166m and one side measures 35m. 4) Substituting the known values, we get: 166 = 2(35) + 2(width) 166 = 70 + 2(width) 96 = 2(width) width = 48m ### Answer: 48m
Expected answer: 48
Correct? Yes
Problem: A square has a perimeter of 124m. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * A square has 4 equal sides * The perimeter of a square is the sum of the lengths of all 4 sides * The perimeter of this square is 124m * So, we can set up the equation: 4 x s = 124 * Where s is the length of each side * Solving for s: 4s = 124 s = 124/4 s = 31m ### Answer: 31m
Expected answer: 31
Correct? Yes
Problem: A rectangular field has a perimeter of 336 feet. The length of one of its sides is 79 feet. What is the length of the opposite side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The field is rectangular, so it has 4 sides. 2) The perimeter of the field is 336 feet. 3) The length of one side is 79 feet. 4) To find the length of the opposite side, we can use the formula for the perimeter of a rectangle: Perimeter = 2 x (length + width) 5) Plugging in the values we know: 336 = 2 x (79 + width) 6) Solving for the width: 336 = 158 + 2 x width 178 = 2 x width width = 89 feet ### Answer: 89 feet
Expected answer: 89
Correct? Yes
Problem: A square plot of land has a perimeter of 132 meters. What is the length of one side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of one side. 3) We are given that the perimeter of the square plot of land is 132 meters. 4) Plugging this into the formula, we get: 132 = 4s 5) Solving for s, we get: s = 132/4 = 33 meters. ### Answer: 33 meters.
Expected answer: 33
Correct? Yes
Problem: A rectangle has a perimeter of 138 feet. If the length of the rectangle is 46 feet, what is the width of the rectangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a rectangle is given by the formula: 2 * (length + width) 2) We are given that the perimeter is 138 feet, and the length is 46 feet. 3) Substituting the given values, we get: 2 * (46 + width) = 138 4) Solving for the width: 92 + 2 * width = 138 2 * width = 138 - 92 2 * width = 46 width = 46 / 2 width = 23 feet ### Answer: 23 feet
Expected answer: 23
Correct? Yes
Problem: A rectangular field has a total perimeter of 200 meters. The length of the field is known to be 49 meters. What is the width of the field in meters?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The total perimeter of the rectangular field is 200 meters. 2) The length of the field is 49 meters. 3) The formula for the perimeter of a rectangle is: 2 x (length + width) = total perimeter. 4) Plugging in the known values, we get: 2 x (49 + width) = 200. 5) Solving for the width, we get: 2 x (49 + width) = 200 2 x 49 + 2 x width = 200 98 + 2 x width = 200 2 x width = 200 - 98 2 x width = 102 width = 102 / 2 width = 51 meters. ### Answer: 51 meters.
Expected answer: 51
Correct? Yes
Problem: A square has a perimeter of 200m. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * A square has 4 equal sides * The perimeter of a square is the sum of the lengths of all 4 sides * The perimeter of this square is 200m * So, we can set up the equation: 4 x s = 200 * Where s is the length of each side * Solving for s: 4s = 200 s = 200/4 s = 50 ### Answer: 50m
Expected answer: 50
Correct? Yes
Problem: A quadrilateral has a perimeter of 199m. The length of one side is 9m, the length of the second side is 30m, and the length of the third side is 71m. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The quadrilateral has a perimeter of 199m * The length of the first side is 9m * The length of the second side is 30m * The length of the third side is 71m To find the length of the fourth side, we need to add up the lengths of the first three sides and then subtract that sum from the total perimeter. The sum of the first three sides: * 9m + 30m + 71m = 110m Now we subtract this sum from the total perimeter: * 199m - 110m = 89m Therefore, the length of the fourth side is 89m. ### Answer: 89m
Expected answer: 89
Correct? Yes
Problem: A quadrilateral has a perimeter of 207m. The lengths of three of its sides are 35m, 62m and 70m respectively. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral (a four-sided polygon) with a perimeter of 207m. 2) The lengths of three of the sides are 35m, 62m, and 70m. 3) To find the length of the fourth side, we need to use the formula for perimeter: Perimeter = Sum of all side lengths 4) We know the perimeter is 207m, and we know the lengths of 3 of the sides. So we can plug those values in: 207m = 35m + 62m + 70m + x 5) Simplifying this equation: 207m = 167m + x 6) Solving for x: 207m - 167m = x 40m = x 7) Therefore, the length of the fourth side is 40m. ### Answer: 40m
Expected answer: 40
Correct? Yes
Problem: A rectangle has a perimeter of 384cm. If one of the shorter sides of the rectangle is measured to be 99cm, what would be the length of the longer sides of the rectangle?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the rectangle is 384 cm * One of the shorter sides is 99 cm * Let's call the length of the longer sides 'x' * The other shorter side must also be 99 cm * The perimeter formula is: 2 x (shorter side) + 2 x (longer side) = 384 * Plugging in the values, we get: 2 x 99 + 2x = 384 * Simplifying: 198 + 2x = 384 * Solving for x: 2x = 186, x = 93 Therefore, the length of the longer sides of the rectangle is 93 cm. ### Answer: 93 cm
Expected answer: 93
Correct? Yes
Problem: A quadrilateral shape has a perimeter of 255 m. The first and the second sides have lengths of 78m and 15m respectively, while the third side has a length of 63m. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral shape with a perimeter of 255 m. 2) The first side has a length of 78 m, the second side has a length of 15 m, and the third side has a length of 63 m. 3) To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all side lengths 4) So we have: 255 m = 78 m + 15 m + 63 m + x 5) Solving for x, we get: 255 m = 156 m + x x = 255 m - 156 m x = 99 m ### Answer: 99 m
Expected answer: 99
Correct? Yes
Problem: A square has a perimeter of 128m. What is the length of one of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of one side as x. * The perimeter of a square is given by the formula: 4x * We are told that the perimeter of the square is 128m, so we can set up the equation: 4x = 128 * Solving for x, we get: x = 128/4 x = 32 ### Answer: 32m
Expected answer: 32
Correct? Yes
Problem: Imagine a rectangle with a perimeter of 96 feet. You know that one pair of opposite sides are each 33 feet long. Can you find the length of the other pair of opposite sides?
Claude-3 Haiku:
Okay, let's break this down step-by-step: 1) We have a rectangle with a perimeter of 96 feet. 2) One pair of opposite sides are each 33 feet long. 3) To find the length of the other pair of opposite sides, we can use the formula for the perimeter of a rectangle: Perimeter = 2 * (length + width) 4) We know the perimeter is 96 feet, and one pair of sides is 33 feet each. So we can plug these values into the formula: 96 = 2 * (33 + width) 5) Solving for width: 96 = 66 + 2 * width 30 = 2 * width width = 15 feet Therefore, the length of the other pair of opposite sides is 15 feet. ### Answer: 15 feet
Expected answer: 15
Correct? Yes
Problem: The perimeter of a square field is 112 meters. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter is 112 meters. 4) Plugging this into the formula, we get: 112 = 4s 5) Solving for s, we get: s = 112/4 = 28 meters. ### Answer: 28 meters.
Expected answer: 28
Correct? Yes
Problem: The perimeter of a square is 32 cm. Can you find the length of one of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of one side. 3) We are given that the perimeter of the square is 32 cm. 4) Plugging this into the formula, we get: 32 = 4s 5) Solving for s, we get: s = 32/4 = 8 cm. ### Answer: 8 cm.
Expected answer: 8
Correct? Yes
Problem: A square has a perimeter of 364m. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 364m. 4) Plugging this into the formula, we get: 364 = 4s s = 364/4 s = 91m ### Answer: 91m
Expected answer: 91
Correct? Yes
Problem: The total perimeter of a rectangle is found to be 144 feet. The length of one side is known to be 38 feet. What is the length of the other side of the rectangle in feet?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The total perimeter of the rectangle is 144 feet. 2) The length of one side is 38 feet. 3) The perimeter of a rectangle is calculated as 2 * (length + width). 4) So we can set up the equation: 2 * (length + width) = 144 5) Substituting the known length of 38 feet, we get: 2 * (38 + width) = 144 6) Solving for width, we get: 2 * (38 + width) = 144 2 * 38 + 2 * width = 144 76 + 2 * width = 144 2 * width = 144 - 76 2 * width = 68 width = 68 / 2 width = 34 feet ### Answer: 34 feet
Expected answer: 34
Correct? Yes
Problem: A quadrilateral has a perimeter of 205m. Two of its sides add up to 54m and the other two sides add up to 22m and 37m respectively. What is the length of the remaining side to complete the perimeter?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has a perimeter of 205m * Two of the sides add up to 54m * The other two sides add up to 22m and 37m respectively To find the length of the remaining side, we can use the following equation: Perimeter = Sum of all sides So, we have: 205m = 54m + 22m + 37m + x Where x is the length of the remaining side. Solving for x: 205m = 113m + x x = 205m - 113m x = 92m ### Answer: 92m
Expected answer: 92
Correct? Yes
Problem: The perimeter of a rectangular field is 174m. If the length of the field is 65m, what is the width of the field?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the rectangular field is 174m * The length of the field is 65m * The formula for the perimeter of a rectangle is: 2 x (length + width) * Plugging in the given information, we get: 174 = 2 x (65 + width) * Solving for the width: 174 = 130 + 2 x width 44 = 2 x width width = 22m ### Answer: 22m
Expected answer: 22
Correct? Yes
Problem: A quadrilateral has a perimeter of 176 cm. The lengths of three sides are 25 cm, 17 cm and 89 cm respectively. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral (a 4-sided shape) with a perimeter of 176 cm. 2) The lengths of three of the sides are 25 cm, 17 cm, and 89 cm. 3) To find the length of the fourth side, we need to add up the lengths of the three given sides and then subtract that sum from the total perimeter. 4) 25 cm + 17 cm + 89 cm = 131 cm 5) The total perimeter is 176 cm, so the length of the fourth side must be: 176 cm - 131 cm = 45 cm ### Answer: 45 cm
Expected answer: 45
Correct? Yes
Problem: A square has a perimeter of 372 meters. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 372 meters. 4) Substituting the given perimeter into the formula, we get: 372 = 4s 5) Solving for s, we get: s = 372/4 s = 93 meters ### Answer: 93 meters
Expected answer: 93
Correct? Yes
Problem: A square field has a perimeter of 240 meters. Can you find out the length of one side of the field?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The field is a square, which means all four sides are equal in length. 2) The perimeter of a square is the sum of the lengths of all four sides. 3) The perimeter of this square field is 240 meters. 4) Since all four sides are equal, we can represent the length of one side as x. 5) The perimeter formula for a square is: 4x 6) We know the perimeter is 240 meters, so we can set up the equation: 4x = 240 7) Solving for x, we get: x = 240/4 = 60 meters. ### Answer: 60 meters.
Expected answer: 60
Correct? Yes
Problem: The perimeter of a rectangle is 242 meters. Knowing that one of the sides of this rectangle is 97 meters, can you determine the length of the other side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a rectangle is the sum of all four sides. 2) The formula for the perimeter of a rectangle is: P = 2(length) + 2(width) 3) We know the perimeter is 242 meters and one side is 97 meters. 4) Substituting the known values, we get: 242 = 2(97) + 2(width) 242 = 194 + 2(width) 48 = 2(width) width = 24 meters ### Answer: 24 meters
Expected answer: 24
Correct? Yes
Problem: Tom has constructed a square with a total perimeter of 316 meters. Can you determine the length of each side of this square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the total perimeter of the square is 316 meters. 4) Plugging this into the formula, we get: 316 = 4s 5) Solving for s, we get: s = 316 / 4 s = 79 meters ### Answer: 79 meters
Expected answer: 79
Correct? Yes
Problem: A square has a perimeter of 268cm. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of each side as 'x'. * The perimeter of a square is given by the formula: Perimeter = 4 x * We are given that the perimeter is 268 cm, so we can set up the equation: * 4x = 268 * Solving for x, we get: * x = 268 / 4 * x = 67 cm ### Answer: 67 cm
Expected answer: 67
Correct? Yes
Problem: A square has a perimeter of 348m. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 348m. 4) Plugging this into the formula, we get: 348 = 4s s = 348/4 s = 87m ### Answer: 87m
Expected answer: 87
Correct? Yes
Problem: A square has a perimeter of 400m. What is the length of one of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of one side as x. * The perimeter of a square is given by the formula: 4x * We are told that the perimeter of the square is 400m, so we can set up the equation: 4x = 400 * Solving for x, we get: x = 400/4 x = 100 ### Answer: 100m
Expected answer: 100
Correct? Yes
Problem: A quadrilateral has sides with lengths of 81m, 100m, and 19m. If its perimeter is 243m, what is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral with sides of lengths 81m, 100m, and 19m. 2) The perimeter of the quadrilateral is 243m. 3) To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all side lengths 243m = 81m + 100m + 19m + x 243m = 200m + x x = 243m - 200m x = 43m ### Answer: 43m
Expected answer: 43
Correct? Yes
Problem: A rectangle has a perimeter of 186cm. If one of its sides is 50cm long, how long is the other side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the rectangle is 186 cm * One of the sides is 50 cm long * To find the length of the other side, we can use the formula for the perimeter of a rectangle: Perimeter = 2 × (length + width) * Substituting the given values, we get: 186 = 2 × (50 + width) * Solving for the width: 186 = 100 + 2 × width 86 = 2 × width width = 86 / 2 width = 43 cm ### Answer: 43 cm
Expected answer: 43
Correct? Yes
Problem: A rectangle has a perimeter of 224 cm. If the length of one of its sides is 78 cm, what is the length of the adjacent side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of the rectangle is 224 cm. 2) The length of one side is 78 cm. 3) The perimeter of a rectangle is the sum of all four sides. 4) So, we can set up an equation: 2 * length + 2 * width = 224 5) We know the length is 78 cm, so we can substitute that in: 2 * 78 + 2 * width = 224 6) Simplifying: 156 + 2 * width = 224 7) Solving for width: 2 * width = 224 - 156 8) 2 * width = 68 9) Width = 34 cm ### Answer: 34 cm
Expected answer: 34
Correct? Yes
Problem: A quadrilateral has two sides measuring 79m and 97m. Another side measures 51m. The total perimeter of the quadrilateral is 235m. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has two sides measuring 79m and 97m * Another side measures 51m * The total perimeter of the quadrilateral is 235m To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all side lengths We know the perimeter is 235m, and we know the lengths of 3 of the sides: 235m = 79m + 97m + 51m + x Solving for x: 235m = 227m + x x = 235m - 227m x = 8m Therefore, the length of the fourth side is 8m. ### Answer: 8m
Expected answer: 8
Correct? Yes
Problem: A square has a perimeter of 28m. Can you calculate the length of one side of this square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of one side as 'x'. * The perimeter formula for a square is: 4x * We are given that the perimeter is 28m, so we can set up the equation: 4x = 28 * Solving for x, we get: x = 28/4 x = 7 ### Answer: 7m
Expected answer: 7
Correct? Yes
Problem: A square has a perimeter of 48cm. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * A square has 4 equal sides * The perimeter of a square is the sum of the lengths of all 4 sides * The perimeter of this square is 48 cm * So, if we divide the perimeter (48 cm) by 4 (the number of sides), we get the length of each side Calculation: * Perimeter = 48 cm * Number of sides = 4 * Length of each side = Perimeter / 4 * Length of each side = 48 cm / 4 * Length of each side = 12 cm ### Answer: 12 cm
Expected answer: 12
Correct? Yes
Problem: A square plot of land has a perimeter of 184 meters. Can you find the length of one side of the plot?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The plot of land is a square, which means all four sides are equal in length. 2) The perimeter of a square is the sum of the lengths of all four sides. 3) The perimeter of this square plot is 184 meters. 4) To find the length of one side, we can use the formula: Perimeter = 4 x side length 5) Plugging in the given perimeter of 184 meters, we get: 184 = 4 x side length 6) Solving for the side length, we get: side length = 184 / 4 = 46 meters. ### Answer: 46 meters.
Expected answer: 46
Correct? Yes
Problem: A square has a perimeter of 56 meters. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * A square has 4 equal sides * The perimeter of a square is the sum of the lengths of all 4 sides * The perimeter of this square is 56 meters * Let's call the length of each side 'x' * The perimeter formula for a square is: 4x * We know the perimeter is 56 meters, so we can set up the equation: 4x = 56 * Solving for x, we get: x = 56/4 x = 14 ### Answer: 14 meters
Expected answer: 14
Correct? Yes
Problem: A quadrilateral has a perimeter of 157m. If one of its sides is 97m long, and the other two sides are 5m and 30m, respectively, what is the length of the fourth side to complete the perimeter?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has a perimeter of 157m * One side is 97m long * Two other sides are 5m and 30m respectively * We need to find the length of the fourth side To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all sides So, we have: Perimeter = 97m + 5m + 30m + x 157m = 132m + x x = 157m - 132m x = 25m Therefore, the length of the fourth side is 25m. ### Answer: 25m
Expected answer: 25
Correct? Yes
Problem: A quadrilateral has a perimeter of 173m. The length of the first side is 46m, second side is 50m and third side is 35m. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral (a 4-sided shape) with a perimeter of 173m. 2) The length of the first side is 46m, the second side is 50m, and the third side is 35m. 3) To find the length of the fourth side, we need to add up the lengths of the first three sides and then subtract that sum from the total perimeter. 4) 46m + 50m + 35m = 131m 5) The total perimeter is 173m, so the length of the fourth side must be: 173m - 131m = 42m ### Answer: 42m
Expected answer: 42
Correct? Yes
Problem: A square has a perimeter of 72 cm. What is the length of one of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) Since all sides of a square are equal, we can represent the length of one side as x. 3) The perimeter of a square is given as 72 cm. 4) The formula for the perimeter of a square is: 4x = 72 5) Solving for x, we get: x = 72/4 = 18 cm. ### Answer: 18 cm.
Expected answer: 18
Correct? Yes
Problem: A square has a perimeter of 352m. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. * We are given that the perimeter of the square is 352m. * Plugging this into the formula, we get: * 352 = 4s * Solving for s, we get: * s = 352/4 * s = 88m ### Answer: 88m
Expected answer: 88
Correct? Yes
Problem: A rectangle has 23m for its length and has a total perimeter of 116m. What is the length of its width?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The rectangle has a length of 23m * The total perimeter of the rectangle is 116m * The formula for the perimeter of a rectangle is: 2 x (length + width) * Plugging in the given information, we get: * 116m = 2 x (23m + width) * 116m = 46m + 2 x width * 70m = 2 x width * width = 35m ### Answer: 35m
Expected answer: 35
Correct? Yes
Problem: A square has a perimeter of 124m. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * A square has 4 equal sides * The perimeter of a square is the sum of the lengths of all 4 sides * The perimeter of this square is 124m * So, we can set up the equation: 4 x s = 124 * Where s is the length of each side * Solving for s: 4s = 124 s = 124/4 s = 31m ### Answer: 31m
Expected answer: 31
Correct? Yes
Problem: A quadrilateral has a total perimeter of 131m. Three of its sides have lengths 24m, 57m, and 17m respectively. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral (a 4-sided shape) with a total perimeter of 131m. 2) Three of the sides have lengths 24m, 57m, and 17m. 3) To find the length of the fourth side, we need to add up the lengths of the three given sides and then subtract that sum from the total perimeter. 4) 24m + 57m + 17m = 98m 5) Total perimeter = 131m 6) Length of fourth side = 131m - 98m = 33m ### Answer: 33m
Expected answer: 33
Correct? Yes
Problem: A rectangle has a perimeter of 254m. One of its sides has a length of 89m. What is the length of the other side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the rectangle is 254m * One of the sides has a length of 89m * The perimeter of a rectangle is the sum of all four sides * So, the perimeter equation is: 2 * (length) + 2 * (width) = 254 * We know one side is 89m, so we can substitute that in: * 2 * 89 + 2 * (width) = 254 * 178 + 2 * (width) = 254 * 2 * (width) = 254 - 178 * 2 * (width) = 76 * width = 76 / 2 * width = 38m ### Answer: 38m
Expected answer: 38
Correct? Yes
Problem: A square has a perimeter of 208m. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * A square has 4 equal sides * The perimeter of a square is the sum of the lengths of all 4 sides * The perimeter of this square is 208m * Let's call the length of each side 'x' * The perimeter formula for a square is: 4x * We know the perimeter is 208m, so we can set up the equation: 4x = 208 * Solving for x, we get: x = 208/4 x = 52 ### Answer: 52m
Expected answer: 52
Correct? Yes
Problem: A square has a perimeter of 64m. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. * We are given that the perimeter of the square is 64m. * Plugging this into the formula, we get: * 64 = 4s * Solving for s, we get: * s = 64/4 = 16m ### Answer: 16m
Expected answer: 16
Correct? Yes
Problem: A quadrilateral has a total perimeter of 196 meters. The lengths of three of its sides combined is 183 meters (with one side being 92 meters and the other two sides being 29 and 62 meters respectively). Can you figure out the length of the fourth side?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has a total perimeter of 196 meters * The lengths of three of its sides combined is 183 meters * One side is 92 meters * The other two sides are 29 and 62 meters respectively To find the length of the fourth side, we can use the following equation: Total Perimeter = Sum of all four sides So, we have: 196 meters = 92 meters + 29 meters + 62 meters + x Solving for x: 196 = 183 + x x = 196 - 183 x = 13 meters ### Answer: 13 meters
Expected answer: 13
Correct? Yes
Problem: The perimeter of a quadrilateral is 191 units. If one side is 35 units in length, another side is 76 units, and the third side is 5 units, what is the length of the fourth side in units?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The perimeter of the quadrilateral is 191 units * One side is 35 units in length * Another side is 76 units in length * The third side is 5 units in length To find the length of the fourth side, we need to add up the lengths of the other three sides and then subtract that sum from the total perimeter. The sum of the other three sides is: * 35 + 76 + 5 = 116 units Now we subtract this from the total perimeter of 191 units: * 191 - 116 = 75 units Therefore, the length of the fourth side is 75 units. ### Answer: 75
Expected answer: 75
Correct? Yes
Problem: A square has a perimeter of 104m. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 104m. 4) Plugging this into the formula, we get: 104 = 4s 5) Solving for s, we get: s = 104/4 s = 26m ### Answer: 26m
Expected answer: 26
Correct? Yes
Problem: The perimeter of a rectangle is 198 cm. If the length of this rectangle is 90 cm, what is the width?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a rectangle is the sum of all its sides. 2) The formula for the perimeter of a rectangle is: 2 x (length + width) 3) We are given that the perimeter is 198 cm and the length is 90 cm. 4) Plugging these values into the formula, we get: 2 x (90 cm + width) = 198 cm 5) Solving for the width, we get: 2 x (90 cm + width) = 198 cm 180 cm + 2 x width = 198 cm 2 x width = 198 cm - 180 cm 2 x width = 18 cm width = 18 cm / 2 width = 9 cm ### Answer: 9 cm
Expected answer: 9
Correct? Yes
Problem: Jack is designing a rectangular garden with a total perimeter of 128 feet. He has already planned for one pair of opposite sides to be 47 feet each. What should be the length of the remaining two opposite sides?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The total perimeter of the rectangular garden is 128 feet. * One pair of opposite sides are already planned to be 47 feet each. * To find the length of the remaining two opposite sides, we can use the formula for the perimeter of a rectangle: Perimeter = 2 x (length + width) * We know the total perimeter is 128 feet, and two of the sides are 47 feet each. * So we can plug these values into the formula: 128 = 2 x (47 + width) * Solving for width: 128 = 94 + 2 x width 2 x width = 128 - 94 2 x width = 34 width = 34 / 2 width = 17 feet * Therefore, the length of the remaining two opposite sides should be 17 feet each. ### Answer: 17 feet
Expected answer: 17
Correct? Yes
Problem: A square has a perimeter of 356m. What is the length of one of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) Since all sides of a square are equal, we can represent the length of one side as x. 3) The perimeter of a square is 4 times the length of one side. 4) So the perimeter equation is: 4x = 356 5) Solving for x, we get: x = 356/4 = 89 ### Answer: 89m
Expected answer: 89
Correct? Yes
Problem: A quadrilateral has a perimeter of 236 units. Two sides of the quadrilateral measure 89 units and 87 units respectively, while the third side is 1 unit long. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has a perimeter of 236 units * Two sides of the quadrilateral measure 89 units and 87 units respectively * The third side is 1 unit long To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all side lengths We know the lengths of 3 sides: * 89 units * 87 units * 1 unit So the perimeter equation becomes: 236 = 89 + 87 + 1 + x Where x is the length of the fourth side. Solving for x: 236 = 177 + x x = 236 - 177 x = 59 ### Answer: 59 units
Expected answer: 59
Correct? Yes
Problem: A square has a perimeter of 340 meters. What is the length of each side of this square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 340 meters. 4) Plugging this into the formula, we get: 340 = 4s s = 340/4 s = 85 meters ### Answer: 85 meters
Expected answer: 85
Correct? Yes
Problem: A square has a perimeter of 16m. What is the length of each side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. 3) We are given that the perimeter of the square is 16m. 4) Plugging this into the formula, we get: 16 = 4s 5) Solving for s, we get: s = 16/4 = 4m 6) Therefore, the length of each side of the square is 4m. ### Answer: 4m
Expected answer: 4
Correct? Yes
Problem: A quadrilateral has four sides. The length of the first side is 1m, the second side is 54m, and the third side is 9m. The total perimeter of this quadrilateral is 81m. What would be the length of the fourth side in meters?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has four sides * The length of the first side is 1m * The length of the second side is 54m * The length of the third side is 9m * The total perimeter of the quadrilateral is 81m To find the length of the fourth side, we need to use the formula for perimeter: Perimeter = Sum of all side lengths We know the perimeter is 81m, and we know the lengths of 3 of the sides. So we can plug those values in and solve for the fourth side: 81m = 1m + 54m + 9m + x 81m = 64m + x x = 81m - 64m x = 17m ### Answer: 17m
Expected answer: 17
Correct? Yes
Problem: A quadrilateral, which is a perfect square, has a total perimeter of 316m. What is the length of each side of this square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We know that the quadrilateral is a perfect square, which means all four sides are equal in length. 2) The total perimeter of the square is 316m. 3) The perimeter of a square is 4 times the length of one side. 4) So, if the total perimeter is 316m, then 4 times the length of one side must be 316m. 5) To find the length of one side, we divide 316m by 4: 316m / 4 = 79m ### Answer: 79m
Expected answer: 79
Correct? Yes
Problem: A square has a perimeter of 300m. How long is each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * The formula for the perimeter of a square is: P = 4s, where P is the perimeter and s is the length of each side. * We are given that the perimeter of the square is 300m. * Plugging this into the formula, we get: * 300 = 4s * Solving for s, we get: * s = 300/4 * s = 75m ### Answer: 75m
Expected answer: 75
Correct? Yes
Problem: A quadrilateral has a perimeter of 198m. Two of the sides have lengths of 19m and 57m respectively, another side is 22m, what is the length of the remaining side?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has a perimeter of 198m * Two of the sides have lengths of 19m and 57m * Another side is 22m * We need to find the length of the remaining side To find the length of the remaining side, we can use the formula for perimeter: Perimeter = Sum of all side lengths We know the lengths of 3 of the sides: * 19m * 57m * 22m So the remaining side length can be calculated as: Remaining side length = Perimeter - (19m + 57m + 22m) Remaining side length = 198m - (19m + 57m + 22m) Remaining side length = 198m - 98m Remaining side length = 100m ### Answer: 100m
Expected answer: 100
Correct? Yes
Problem: A square has a perimeter of 172m. What is the length of each side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of each side as 'x'. * The perimeter formula for a square is: 4x * We are given that the perimeter is 172m, so we can set up the equation: 4x = 172 * Solving for x, we get: x = 172/4 x = 43 Therefore, the length of each side of the square is 43m. ### Answer: 43m
Expected answer: 43
Correct? Yes
Problem: A square has a perimeter of 304 cm. What is the length of one of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The perimeter of a square is the sum of the lengths of all four sides. 2) Since all sides of a square are equal, we can represent the length of one side as x. 3) The perimeter of a square is 4 times the length of one side. 4) So the perimeter equation is: 4x = 304 5) Solving for x, we get: x = 304/4 = 76 cm. ### Answer: 76 cm.
Expected answer: 76
Correct? Yes
Problem: A rectangle has a total perimeter of 158 meters. Each of the shorter sides is 51 meters long. What is the length of each of the longer sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) The total perimeter of the rectangle is 158 meters. 2) The length of each shorter side is 51 meters. 3) The perimeter of a rectangle is calculated as: 2 x (length of shorter side) + 2 x (length of longer side). 4) Plugging in the known values, we get: 2 x 51 + 2 x (length of longer side) = 158 5) Simplifying, we get: 102 + 2 x (length of longer side) = 158 6) Solving for the length of the longer side, we get: 2 x (length of longer side) = 158 - 102 7) 2 x (length of longer side) = 56 8) Length of each longer side = 56 / 2 = 28 meters. ### Answer: 28 meters.
Expected answer: 28
Correct? Yes
Problem: A square has a perimeter of 72m. What is the length of one its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * A square has 4 equal sides * The perimeter of a square is the sum of the lengths of all 4 sides * The perimeter of this square is 72m * So, the equation is: 4 x s = 72, where s is the length of one side * Solving for s, we get: s = 72/4 = 18m ### Answer: 18m
Expected answer: 18
Correct? Yes
Problem: A rectangular playground is bordered by a fence. Two opposite sides of the fence are 19m each. If the total length of the fence is 166m, what is the length of each of the other two sides?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The rectangular playground is bordered by a fence * Two opposite sides of the fence are 19m each * The total length of the fence is 166m To find the length of the other two sides, we can use the following formula: Total length of the fence = 2 x (length of one side + length of the other side) We know that: * 2 x (19m + 19m) = 166m * 2 x 38m = 166m * 76m = 166m Now we can solve for the length of the other two sides: * 166m - 76m = 90m * 90m / 2 = 45m Therefore, the length of each of the other two sides is 45m. ### Answer: 45m
Expected answer: 64
Correct? No
Problem: A quadrilateral has a perimeter of 246m. You know that two of its sides are 40m and 32m long, another side is 95m long. What is the length of the fourth side?
Claude-3 Haiku:
Okay, let's break this down step-by-step: * The quadrilateral has a perimeter of 246m * Two of the sides are 40m and 32m long * Another side is 95m long To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all sides So, we can set up the equation: 246m = 40m + 32m + 95m + x Where x is the length of the fourth side. Solving for x: 246m = 167m + x x = 246m - 167m x = 79m ### Answer: 79m
Expected answer: 79
Correct? Yes
Problem: A square has a perimeter of 32m. What is the length of one of its sides?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of one side as x. * The perimeter of a square is given by the formula: Perimeter = 4 x * We are told that the perimeter of the square is 32m, so we can set up the equation: * 4x = 32 * Solving for x, we get: * x = 32/4 * x = 8 Therefore, the length of one side of the square is 8m. ### Answer: 8m
Expected answer: 8
Correct? Yes
Problem: A square has a perimeter of 12 meters. Can you find the length of one side of the square?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of a square is the sum of the lengths of all four sides. * Since all sides of a square are equal, we can represent the length of one side as 'x'. * The perimeter of a square is given by the formula: Perimeter = 4 x * We are told that the perimeter of this square is 12 meters. * So we can set up the equation: 4x = 12 * Solving for x, we get: x = 12/4 = 3 meters ### Answer: 3 meters
Expected answer: 3
Correct? Yes
Problem: A quadrilateral has a perimeter of 160m. If the three known sides have lengths of 29m, 16m, and 41m, what is the length of the fourth side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: 1) We are given a quadrilateral with a perimeter of 160m. 2) The lengths of three of the sides are known: 29m, 16m, and 41m. 3) To find the length of the fourth side, we can use the formula for perimeter: Perimeter = Sum of all side lengths 4) So we have: 160m = 29m + 16m + 41m + x, where x is the length of the fourth side. 5) Solving for x, we get: 160m = 86m + x x = 160m - 86m x = 74m ### Answer: 74m
Expected answer: 74
Correct? Yes
Problem: A rectangle has a perimeter of 98m. If one of its sides is 5m long, what is the length of the other side?
Claude-3 Haiku:
Okay, let's solve this step-by-step: * The perimeter of the rectangle is 98m * One of the sides is 5m long * The perimeter of a rectangle is the sum of all four sides * So, the perimeter equation is: 2 * (length) + 2 * (width) = 98 * We know that one side is 5m, so we can substitute that in: * 2 * (5) + 2 * (width) = 98 * 10 + 2 * (width) = 98 * 2 * (width) = 88 * width = 44 ### Answer: 44m
Expected answer: 44
Correct? Yes
Problem: A rectangle has two sides measuring 45m each. If the total perimeter of the rectangle is 210m, what is the length of each of the other two sides?
Claude-3 Haiku:
Okay, let's break this down step-by-step: 1) The rectangle has two sides measuring 45m each. 2) The total perimeter of the rectangle is 210m. 3) The perimeter of a rectangle is calculated as: 2 x (length + width). 4) We know that 2 of the sides are 45m each, so we can plug that in: 2 x (45m + width) = 210m 5) Solving for the width: 2 x (45m + width) = 210m 90m + 2 x width = 210m 2 x width = 210m - 90m 2 x width = 120m width = 120m / 2 width = 60m 6) Therefore, the length of each of the other two sides is 60m. ### Answer: 60m
Expected answer: 60
Correct? Yes