CodeLlama 13B 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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangular swimming pool can be found by adding the lengths of all four sides. In this case, the perimeter is 324 meters. The length of the pool is 83 meters. The width of the pool can be found by using the formula: width = perimeter / length Plugging in the values, we get: width = 324 / 83 = 3.94 meters So, the width of the pool is approximately 3.94 meters. ### Answer: 3.94 meters
Expected answer: 79
Correct? No
Problem: A square has a perimeter of 40m. What is the length of each side?
CodeLlama 13B:
Reasoning: A square has four sides of equal length. Therefore, the length of each side is half of the perimeter, which is 40m / 4 = 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?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 344m, so we can substitute this value into the equation: 344 = a + a + a + a Expanding and simplifying the equation, we get: 344 = 4a Dividing both sides by 4, we get: a = 86 Therefore, the length of each side of the square is 86m. ### Answer: 86
Expected answer: 86
Correct? Yes
Problem: A square has a perimeter of 348m. What would be the length of each side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 348m, so we can substitute this value into the equation: 348 = a + a + a + a Expanding the equation, we get: 348 = 4a Dividing both sides by 4, we get: a = 89.5 Therefore, the length of each side of the square is 89.5m. ### Answer: 89.5
Expected answer: 87
Correct? No
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = Length of one side + Length of other side We know that the perimeter is 194 cm, and the length of one side is 49 cm. So, we can substitute these values into the equation: 194 = 49 + Length of other side Now, we can solve for the length of the other side: Length of other side = 194 - 49 Length of other side = 145 Therefore, the length of the other side is 145 cm. ### Answer: 145 cm
Expected answer: 48
Correct? No
Problem: A square has a perimeter of 192m. What is the length of one side?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 192m, we can set up the equation: p = a + a + a + a where p is the perimeter and a is the length of one side. Solving for a, we get: a = p / 4 Substituting p = 192m, we get: a = 192m / 4 a = 48m Therefore, the length of one side of the square is 48m. ### Answer: 48m
Expected answer: 48
Correct? Yes
Problem: A square has a perimeter of 68cm. What is the length of one side?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 68cm, we can set up the equation: p = a + a + a + a where p is the perimeter and a is the length of one side. Solving for a, we get: a = p / 4 Substituting p = 68, we get: a = 68 / 4 a = 17 Therefore, the length of one side of the square is 17cm. ### Answer: 17
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all four sides. If one side is 4 meters, the other three sides must add up to 52 meters - 4 meters = 48 meters. The length of the other side can be found by using the Pythagorean theorem: side = sqrt(perimeter^2 - side^2) Plugging in the values, we get: side = sqrt(48^2 - 4^2) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304 - 16) side = sqrt(2304
Expected answer: 22
Correct? No
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 229m, so we can write an equation based on the formula for the perimeter of a quadrilateral: P = a + b + c + d where a, b, c, and d are the lengths of the sides of the quadrilateral. We also know that two of the sides have lengths of 93m and 98m, so we can substitute those values into the equation: P = 93 + 98 + x + d We also know that the third side has a length of 36m, so we can substitute that value into the equation: P = 93 + 98 + x + 36 Now we can solve for x: P - 93 - 98 - 36 = x 229 - 93 - 98 - 36 = x 143 = x So the length of the fourth side is 143m. ### Answer: 143m.
Expected answer: 2
Correct? No
Problem: The perimeter of a square is 16m. What is the length of each side of this square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 16m, we can set up the equation: 4s = 16 where s is the length of each side of the square. Solving for s, we get: s = 16/4 s = 4 Therefore, the length of each side of the square is 4m. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: A square has a perimeter of 272m. What is the length of each side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 272m, so we can substitute this value into the equation: 272 = a + a + a + a Simplifying the equation, we get: 272 = 4a Dividing both sides by 4, we get: a = 68 Therefore, the length of each side of the square is 68m. ### Answer: 68
Expected answer: 68
Correct? Yes
Problem: A square has a perimeter of 244m. What is the length of each side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 244m, so we can substitute this value into the equation: 244 = a + a + a + a Simplifying the equation, we get: 244 = 4a Dividing both sides by 4, we get: a = 61 Therefore, the length of each side of the square is 61m. ### Answer: 61
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 227m, so we can write an equation based on the formula for the perimeter of a quadrilateral: Perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides. We also know that the lengths of three of the sides are 70m, 29m, and 61m, so we can substitute those values into the equation: Perimeter = 70 + 29 + 61 + x Simplifying the equation, we get: 227 = 70 + 29 + 61 + x Subtracting 70 + 29 + 61 from both sides, we get: x = 227 - 120 x = 107 Therefore, the length of the fourth side of the quadrilateral is 107m. ### Answer: 107
Expected answer: 67
Correct? No
Problem: A square has a perimeter of 280m. What is the length of the side of that square?
CodeLlama 13B:
Reasoning: The formula for the perimeter of a square is P = 4s, where s is the length of a side. Given that the perimeter of the square is 280m, we can set up the equation: 4s = 280 Solving for s, we get: s = 280/4 s = 70 Therefore, the length of the side of the square is 70m. ### Answer: 70
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 219cm, so we can write an equation based on the formula for the perimeter of a quadrilateral: P = a + b + c + d where a, b, c, and d are the lengths of the sides. We also know that two of the sides have lengths of 37cm and 98cm, so we can substitute those values into the equation: P = 37 + 98 + x + d We also know that one of the sides is 41cm, so we can substitute that value into the equation: P = 37 + 98 + x + 41 Now we have two equations and two variables (x and d). We can solve for x and d by subtracting the two equations and solving for x: P - P = 37 + 98 + x + 41 - (37 + 98 + x + d) Simplifying the equation: 0 = 41 - d Now we have an equation for d in terms of x: d = 41 - x Now we can substitute this value for d into the first equation and solve for x: P = 37 + 98 + x + (41 - x) Simplifying the equation: P = 37 + 98 + x - x Now we have an equation for x: x = 37 + 98 x = 135 So the length of the fourth side is 135cm. ### Answer: 135cm
Expected answer: 43
Correct? No
Problem: A square has a perimeter of 44m. Can you calculate the length of one side?
CodeLlama 13B:
Yes, I can help you with that! To find the length of one side of a square, we need to use the formula for the perimeter of a square, which is: Perimeter = 4s where s is the length of one side. We are given that the perimeter is 44m, so we can set up the equation: 4s = 44 Now, we can solve for s: s = 44/4 s = 11 So, the length of one side of the square is 11 meters. ### Answer: 11
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + b + a + b where a is the length of the longer side and b is the length of the shorter side. We know that the perimeter is 282 meters, so we can substitute this value into the equation: 282 = a + b + a + b Simplifying the equation, we get: 282 = 2a + 2b Subtracting 2a from both sides gives us: 282 - 2a = 2b Subtracting 2b from both sides gives us: 282 - 2a - 2b = 0 Simplifying the equation, we get: 2a + b = 141 Since we know that the longer side is 71 meters, we can substitute this value into the equation: 2(71) + b = 141 Simplifying the equation, we get: 142 + b = 141 Subtracting 142 from both sides gives us: b = -20 Since b cannot be negative, we know that the shorter side is 20 meters. ### Answer: 20
Expected answer: 70
Correct? No
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?
CodeLlama 13B:
Reasoning: The total perimeter of the garden is given as 128 meters. The shorter side has a length of 57 meters, so the longer side must have a length of 128 - 57 = 71 meters. ### Answer: 71 meters
Expected answer: 7
Correct? No
Problem: A square has a perimeter of 392m. What is the length of each side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 392m, so we can substitute this value into the equation: 392 = a + a + a + a Expanding and simplifying the equation, we get: 392 = 4a Dividing both sides by 4, we get: a = 98 Therefore, the length of each side of the square is 98m. ### Answer: 98
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + b + a + b where a and b are the lengths of the two sides. We know that the perimeter is 204m, so we can substitute this value into the equation: 204 = a + b + a + b Simplifying the equation, we get: 204 = 2a + 2b Subtracting 2a from both sides gives us: 204 - 2a = 2b Subtracting 2b from both sides gives us: 202 - 2a = 0 Solving for a, we get: a = 101 Now that we know the length of one side, we can find the length of the other side by using the fact that the perimeter is equal to the sum of the lengths of all the sides. We can substitute the value of a into the equation: 204 = a + b + a + b Simplifying the equation, we get: 204 = 2a + 2b Subtracting 2a from both sides gives us: 202 = 2b Dividing both sides by 2 gives us: b = 101 Therefore, the length of the other side is 101m. ### Answer: 101
Expected answer: 86
Correct? No
Problem: A square has a perimeter of 336cm. What is the length of one of its sides?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. We are given that the perimeter is 336cm, so we can substitute this value into the equation: 336 = a + a + a + a Simplifying the equation, we get: 3a = 336 Dividing both sides by 3, we get: a = 112 Therefore, the length of one side of the square is 112cm. ### Answer: 112
Expected answer: 84
Correct? No
Problem: A square has a perimeter of 144 meters. What is the length of one side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 144 meters, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. Solving for a, we get: a + a + a + a = 144 a + a + a = 144 - a 3a = 144 a = 48 Therefore, the length of one side of the square is 48 meters. ### Answer: 48
Expected answer: 36
Correct? No
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 236 cm, so we can write an equation based on the formula for the perimeter of a quadrilateral: P = a + b + c + d where a, b, c, and d are the lengths of the sides. We also know that two of the sides are 69 cm and 50 cm, so we can substitute those values into the equation: P = a + b + c + d = 69 + 50 + x + x = 129 + 2x We also know that the third side is 39 cm, so we can substitute that value into the equation: P = a + b + c + d = 129 + 2x = 129 + 2(39) = 129 + 78 = 207 So, we have: 207 = 129 + 2x Subtracting 129 from both sides gives us: 78 = 2x Dividing both sides by 2 gives us: 39 = x So, the length of the fourth side is 39 cm. ### Answer: 39 cm
Expected answer: 78
Correct? No
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?
CodeLlama 13B:
Reasoning: Let's call the length of the side that is unknown "x". We know that the perimeter of the quadrilateral is 193cm, so we can write an equation based on that: Perimeter = 2(37 + 14 + x) We also know that one of the sides measures 37cm, so we can write another equation based on that: 37 + 14 + x = 73 Now we have two equations and two unknowns. We can solve for "x" by subtracting the two equations and solving for "x": 2(37 + 14 + x) = 73 Subtracting the two equations, we get: 2(37 + 14 + x) - (37 + 14 + x) = 73 - 37 - 14 - x Simplifying, we get: 2x = 193 - 73 - 14 - x Subtracting "x" from both sides, we get: x = 193 - 73 - 14 - x Solving for "x", we get: x = 193 - 73 - 14 - x x = 193 - 87 - 14 x = 193 - 101 x = 92 Therefore, the length of the side of the quadrilateral that is unknown is 92cm. ### Answer: 92
Expected answer: 69
Correct? No
Problem: A square has a perimeter of 160m. What is the length of one of its sides?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. Substituting the given value of the perimeter, we get: 160 = 4a Dividing both sides by 4, we get: a = 40 Therefore, the length of one side of the square is 40m. ### Answer: 40
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?
CodeLlama 13B:
Reasoning: The formula for the perimeter of a rectangle is P = 2(l + w), where l is the length and w is the width. We know that the perimeter of the rectangle is 228 meters, so we can set up the equation: 2(l + w) = 228 Simplifying the equation: l + w = 114 Subtracting l from both sides: w = 114 - l We know that the length of the rectangle is 90 meters, so we can substitute this value into the equation: w = 114 - 90 w = 24 Therefore, the width of the rectangle is 24 meters. ### Answer: 24
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?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since all sides are equal in a square, the perimeter is equal to four times the length of one side. Therefore, we can set up the equation: Perimeter = 4s where s is the length of one side of the square. We are given that the perimeter is 136 meters, so we can substitute this value into the equation: 136 = 4s Now, we can divide both sides of the equation by 4 to solve for s: s = 136/4 s = 34 Therefore, the length of one side of the square field is 34 meters. ### Answer: 34
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides of the rectangle. We know that the perimeter is 236 meters, so we can substitute this value into the equation: 236 = a + b + c + d We also know that one side of the rectangle is 43 meters, so we can substitute this value into the equation: 236 = a + 43 + c + d Now we have two equations and four variables. We can solve for the length of the opposite side by using substitution or elimination. Let's use substitution. We can substitute the value of one side (43) into the second equation and solve for the length of the opposite side: 236 = a + 43 + c + d 236 = a + 43 + c + (236 - a - 43) Now we have: 236 = a + 43 + c + (236 - a - 43) 236 = a + 43 + c + 193 Now we can solve for c: c = 236 - a - 43 Now we have: 236 = a + 43 + (236 - a - 43) 236 = a + 43 + 193 Now we can solve for a: a = 236 - 43 - 193 a = 150 Now we have: 236 = 150 + 43 + 193 236 = 286 This is a contradiction, so there is no solution to the problem. ### Answer: There is no solution to the problem.
Expected answer: 75
Correct? No
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?
CodeLlama 13B:
Let's call the length of the side that is 58m "a". We know that the perimeter of the quadrilateral is 206m, so we can write an equation based on the formula for the perimeter of a quadrilateral: perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides of the quadrilateral. We also know that two of the sides together have a length of 58m, so we can write: a + b = 58 We also know that the other two sides together have a length of 54m and 1m, so we can write: c + d = 54 + 1 = 55 Now we have two equations and four variables. We can solve for the missing portion of the perimeter by substituting the values of a, b, c, and d into the first equation and then solving for the missing portion. a + b = 58 c + d = 55 a = 30 b = 28 c = 1 d = 54 Now we can substitute these values into the first equation: 30 + 28 = 58 58 - 28 = 30 20 = 30 Therefore, the missing portion of the perimeter is 20m.
Expected answer: 93
Correct? No
Problem: A square field has a total perimeter of 284 meters. How long is each side of the square field?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 284 meters, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. Solving for a, we get: a = Perimeter / 4 Substituting the value of Perimeter, we get: a = 284 / 4 a = 71 Therefore, each side of the square field is 71 meters long. ### Answer: 71
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?
CodeLlama 13B:
Reasoning: The formula for the perimeter of a rectangle is P = 2(l + w), where l is the length and w is the width. Given that the perimeter is 150 feet, we can set up the equation: 2(l + w) = 150 Simplifying the equation: 2l + 2w = 150 Subtracting 2w from both sides: 2l = 150 - 2w Dividing both sides by 2: l = 75 - w Since the length of the rectangle is 69 feet, we can substitute this value into the equation: l = 69 Substituting l = 69 into the equation: 2(69) + 2w = 150 Expanding the equation: 138 + 2w = 150 Subtracting 138 from both sides: 2w = 11 Dividing both sides by 2: w = 5.5 Therefore, the width of the rectangle is 5.5 feet. ### Answer: 5.5 feet.
Expected answer: 6
Correct? No
Problem: The perimeter of a rectangle is 166m. If one of the sides measures 35m, how long is the other side?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all four sides. If one side is 35m, the other side must be 166-35 = <<166-35=131>>131m. ### Answer: 131m
Expected answer: 48
Correct? No
Problem: A square has a perimeter of 124m. What is the length of each side?
CodeLlama 13B:
Reasoning: A square has four sides of equal length. Therefore, the length of each side is 124/4 = <<124/4=31>>31 meters. ### Answer: 31 meters
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = Length of one side + Length of opposite side We know that the perimeter is 336 feet, and the length of one side is 79 feet. So, we can substitute these values into the equation: 336 = 79 + Length of opposite side Now, we can solve for the length of the opposite side: Length of opposite side = 336 - 79 Length of opposite side = 257 Therefore, the length of the opposite side is 257 feet. ### Answer: 257
Expected answer: 89
Correct? No
Problem: A square plot of land has a perimeter of 132 meters. What is the length of one side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 132 meters, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. Solving for a, we get: a + a + a + a = 132 a + a + a = 132 - a 3a = 132 a = 44 So, the length of one side of the square is 44 meters. ### Answer: 44
Expected answer: 33
Correct? No
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?
CodeLlama 13B:
Reasoning: The formula for the perimeter of a rectangle is P = 2(l + w), where l is the length and w is the width. Given that the perimeter is 138 feet, we can set up the equation: 2(l + w) = 138 Simplifying the equation: 2l + 2w = 138 Subtracting 2w from both sides: 2l = 138 - 2w Simplifying the equation: l = 69 - w Since the length of the rectangle is 46 feet, we can substitute this value into the equation: l = 69 - w Substituting 46 for l: 46 = 69 - w Simplifying the equation: w = 23 Therefore, the width of the rectangle is 23 feet. ### Answer: 23
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Since the length of the field is 49 meters, the width must be 200 - 49 = 151 meters. ### Answer: 151 meters
Expected answer: 51
Correct? No
Problem: A square has a perimeter of 200m. What is the length of each side?
CodeLlama 13B:
Reasoning: The formula for the perimeter of a square is P = 4l, where l is the length of each side. Given that the perimeter is 200m, we can set up the equation: 4l = 200 Solving for l, we get: l = 200/4 = 50m Therefore, the length of each side of the square is 50m. ### 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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 199m, so we can write an equation based on the formula for the perimeter of a quadrilateral: Perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides. We also know that the length of one side is 9m, the length of the second side is 30m, and the length of the third side is 71m. So, we can substitute these values into the equation: Perimeter = a + b + c + d = 9 + 30 + 71 + x = 199 Now we have an equation with one variable (x) and one constant (199). We can solve for x by subtracting 9 + 30 + 71 from both sides: x = 199 - (9 + 30 + 71) = 199 - 110 = 89 So, the length of the fourth side is 89m. ### Answer: 89
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?
CodeLlama 13B:
Reasoning: Let the length of the fourth side be x. Since the perimeter of a quadrilateral is the sum of the lengths of all its sides, we can write: Perimeter = 35 + 62 + 70 + x Simplifying the equation, we get: 207 = 35 + 62 + 70 + x Subtracting 35 + 62 + 70 from both sides, we get: x = 207 - 147 x = 60 Therefore, the length of the fourth side is 60m.
Expected answer: 40
Correct? No
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Since one of the shorter sides is 99cm, the longer side must be 384 - 99 = 285cm. ### Answer: 285cm
Expected answer: 93
Correct? No
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 255 m, so we can write an equation based on the formula for the perimeter of a quadrilateral: Perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides. Plugging in the values we know, we get: 255 = 78 + 15 + x + d Simplifying, we get: 232 = 93 + x + d Subtracting 93 from both sides, we get: 149 = x + d Subtracting x from both sides, we get: 149 - x = d So the length of the fourth side is 149 - x. ### Answer: 149 - x
Expected answer: 99
Correct? No
Problem: A square has a perimeter of 128m. What is the length of one of its sides?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. Substituting the given value of the perimeter, we get: 128 = 4a Dividing both sides by 4, we get: a = 32 Therefore, the length of one side of the square is 32 meters. ### Answer: 32
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?
CodeLlama 13B:
Reasoning: Let's call the length of the other pair of opposite sides "x". We know that the perimeter of the rectangle is 96 feet, so we can write an equation based on this information: Perimeter = 2(33 + x) We also know that the perimeter is equal to the sum of the lengths of all four sides, so we can write another equation based on this information: Perimeter = 2(33 + x) = 2(33 + 33) = 2(66) = 132 Now we have two equations and two unknowns. We can solve for "x" by subtracting the two equations: 2(33 + x) - 2(33 + 33) = 0 Simplifying and solving for "x": 2x - 66 = 0 x = 33 So the length of the other pair of opposite sides is 33 feet.
Expected answer: 15
Correct? No
Problem: The perimeter of a square field is 112 meters. What is the length of each side?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side. We are given that the perimeter is 112 meters, so we can substitute this value into the equation: 112 = a + a + a + a Expanding and simplifying the equation, we get: 4a = 112 Dividing both sides by 4, we get: a = 28 Therefore, the length of each side of the square field is 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?
CodeLlama 13B:
Yes, I can find the length of one side of the square. The formula for the perimeter of a square is: Perimeter = 4s where s is the length of one side of the square. Given that the perimeter is 32 cm, we can set up the equation: 4s = 32 Solving for s, we get: s = 32/4 So, the length of one side of the square is 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?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 364m, so we can substitute this value into the equation: 364 = a + a + a + a Simplifying the equation, we get: 364 = 4a Dividing both sides by 4, we get: a = 91 Therefore, the length of each side of the square is 91m. ### Answer: 91
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Therefore, the perimeter of the rectangle is: Perimeter = 2(38) + 2(x) where x is the length of the other side. We are given that the perimeter is 144 feet, so we can set up the equation: 2(38) + 2(x) = 144 Simplifying the equation: 76 + 2x = 144 Subtracting 76 from both sides: 2x = 68 Dividing both sides by 2: x = 34 Therefore, the length of the other side of the rectangle is 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?
CodeLlama 13B:
Let's call the length of the side that is 54m long "a". We know that the perimeter of the quadrilateral is 205m, so we can write an equation based on the formula for the perimeter of a quadrilateral: perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides. We also know that two of the sides add up to 54m, so we can write another equation based on that: a + b = 54 We also know that the other two sides add up to 22m and 37m, so we can write two more equations: c + d = 22 d + c = 37 Now we have four equations and four variables (a, b, c, and d). We can solve the system of equations to find the values of a, b, c, and d. Once we have the values of a, b, c, and d, we can use the formula for the perimeter of a quadrilateral to find the length of the remaining side: perimeter = a + b + c + d ### Answer: 205m
Expected answer: 92
Correct? No
Problem: The perimeter of a rectangular field is 174m. If the length of the field is 65m, what is the width of the field?
CodeLlama 13B:
Reasoning: The perimeter of a rectangular field can be found by adding the lengths of all four sides. In this case, the perimeter is 174m. Let's call the length of the field "l" and the width "w". We can write an equation based on the perimeter formula: Perimeter = 2(l + w) We know that the perimeter is 174m, so we can substitute that value into the equation: 2(l + w) = 174 Now we can solve for "l" and "w": l + w = 174 / 2 l = 174 / 2 - w Now we have two equations and two variables. We can solve for "l" and "w" by substituting the equation for "l" into the second equation: l = 174 / 2 - w w = 174 / 2 - l Now we can solve for "l" and "w" by substituting the values we know into the equations: l = 174 / 2 - w l = 174 / 2 - (174 / 2 - l) l = l w = 174 / 2 - l w = 174 / 2 - (174 / 2 - w) w = w So, "l" and "w" are equal to each other, which means the field is a square with side length 65m. ### Answer: 65m
Expected answer: 22
Correct? No
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 176 cm, so we can write an equation based on the formula for the perimeter of a quadrilateral: Perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides. We also know that the lengths of the three sides are 25 cm, 17 cm, and 89 cm, so we can substitute those values into the equation: Perimeter = 25 + 17 + 89 + x Simplifying the equation, we get: 176 = 25 + 17 + 89 + x Subtracting 25 + 17 + 89 from both sides, we get: x = 176 - (25 + 17 + 89) x = 176 - 121 x = 55 Therefore, the length of the fourth side is 55 cm. ### Answer: 55 cm.
Expected answer: 45
Correct? No
Problem: A square has a perimeter of 372 meters. What is the length of each side?
CodeLlama 13B:
Reasoning: The formula for the perimeter of a square is P = 4s, where s is the length of each side. Given that the perimeter is 372 meters, we can set up the equation: 372 = 4s Solving for s, we get: s = 93 So, the length of each side of the square is 93 meters. ### Answer: 93
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?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 240 meters, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. Solving for a, we get: a = Perimeter / 4 Substituting the value of Perimeter, we get: a = 240 / 4 a = 60 meters Therefore, the length of one side of the square field is 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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all four sides. Since one side is 97 meters, the other side must be 242 - 97 = 145 meters. ### Answer: 145 meters
Expected answer: 24
Correct? No
Problem: Tom has constructed a square with a total perimeter of 316 meters. Can you determine the length of each side of this square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 316 meters, we can set up the equation: 4s = 316 where s is the length of each side of the square. Solving for s, we get: s = 316 / 4 s = 78.5 Therefore, each side of the square has a length of 78.5 meters. ### Answer: 78.5 meters
Expected answer: 79
Correct? No
Problem: A square has a perimeter of 268cm. What is the length of each side of the square?
CodeLlama 13B:
Reasoning: The formula for the perimeter of a square is P = 4s, where s is the length of each side. Given that the perimeter of the square is 268cm, we can set up the equation: 268 = 4s Dividing both sides by 4, we get: s = 67 Therefore, the length of each side of the square is 67cm. ### Answer: 67
Expected answer: 67
Correct? Yes
Problem: A square has a perimeter of 348m. What is the length of each side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 348m, so we can substitute this value into the equation: 348 = a + a + a + a Expanding the equation, we get: 348 = 4a Dividing both sides by 4, we get: a = 89.5 Therefore, the length of each side of the square is 89.5m. ### Answer: 89.5
Expected answer: 87
Correct? No
Problem: A square has a perimeter of 400m. What is the length of one of its sides?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. Substituting the given value of the perimeter, we get: 400 = a + a + a + a Simplifying the equation, we get: 400 = 4a Dividing both sides by 4, we get: a = 100 Therefore, the length of one side of the square is 100m. ### Answer: 100
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?
CodeLlama 13B:
Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides. In this case, the perimeter is given as 243m. Let's call the lengths of the sides a, b, c, and d, where a, b, and c are the given lengths, and d is the length of the fourth side. Using the formula for the perimeter of a quadrilateral, we can write: perimeter = a + b + c + d Substituting the given values, we get: 243 = 81 + 100 + 19 + d Solving for d, we get: d = 243 - 81 - 100 - 19 = 154 Therefore, the length of the fourth side is 154m. ### Answer: 154
Expected answer: 43
Correct? No
Problem: A rectangle has a perimeter of 186cm. If one of its sides is 50cm long, how long is the other side?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. If one side is 50cm long, the other side must be 136cm long. ### Answer: 136cm
Expected answer: 43
Correct? No
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = Length of one side + Length of adjacent side We know that the perimeter is 224 cm, and the length of one side is 78 cm. So, we can substitute these values into the equation: 224 = 78 + Length of adjacent side Now, we can solve for the length of the adjacent side: Length of adjacent side = 224 - 78 Length of adjacent side = 146 Therefore, the length of the adjacent side is 146 cm. ### Answer: 146
Expected answer: 34
Correct? No
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of a quadrilateral is the sum of the lengths of all its sides. So, the perimeter of this quadrilateral is: Perimeter = 79 + 97 + 51 + x We also know that the total perimeter is 235m. So, we can set up the equation: 79 + 97 + 51 + x = 235 Simplifying the equation: 235 = 79 + 97 + 51 + x Subtracting 79 + 97 + 51 from both sides: x = 235 - 79 - 97 - 51 x = 235 - 245 x = -10 But we know that the length of a side cannot be negative. So, the correct answer is: x = 0 Therefore, the length of the fourth side is 0.
Expected answer: 8
Correct? No
Problem: A square has a perimeter of 28m. Can you calculate the length of one side of this square?
CodeLlama 13B:
Yes, I can help you with that! To find the length of one side of a square, we need to use the formula: Perimeter = 4x where x is the length of one side. In this case, the perimeter is 28m, so we can set up the equation: 28 = 4x Now, we can solve for x by dividing both sides by 4: x = 28/4 x = 7 So, the length of one side of the square is 7 meters.
Expected answer: 7
Correct? Yes
Problem: A square has a perimeter of 48cm. What is the length of each side?
CodeLlama 13B:
Reasoning: A square has four sides of equal length. Therefore, the length of each side is half of the perimeter, which is 48/4 = <<48/4=12>>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?
CodeLlama 13B:
Yes, I can help you with that! To find the length of one side of the square plot, we can use the formula: Perimeter = 4 x side length We are given that the perimeter of the plot is 184 meters, so we can set up the equation: 184 = 4 x side length Now, we can solve for side length by dividing both sides of the equation by 4: side length = 184 / 4 side length = 46 So, the length of one side of the square plot is 46 meters.
Expected answer: 46
Correct? Yes
Problem: A square has a perimeter of 56 meters. What is the length of each side?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 56 meters, we can set up the equation: p = a + a + a + a where p is the perimeter and a is the length of each side. Solving for a, we get: a = p / 4 Substituting p = 56, we get: a = 56 / 4 a = 14 Therefore, the length of each side of the square is 14 meters. ### Answer: 14
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 157m. We also know that one of the sides is 97m long, and the other two sides are 5m and 30m, respectively. So, the total length of all four sides is: 97 + 5 + 30 + x = 157 Simplifying the equation: 152 + x = 157 Subtracting 152 from both sides: x = 5 Therefore, the length of the fourth side is 5m.
Expected answer: 25
Correct? No
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 173m, so we can write an equation based on the formula for the perimeter of a quadrilateral: Perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides. Plugging in the values we know, we get: 173 = 46 + 50 + 35 + x Simplifying, we get: 173 = 131 + x Subtracting 131 from both sides, we get: x = 42 So the length of the fourth side is 42m. ### Answer: 42
Expected answer: 42
Correct? Yes
Problem: A square has a perimeter of 72 cm. What is the length of one of its sides?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. Substituting the given value of the perimeter, we get: 72 = a + a + a + a Expanding and simplifying, we get: 72 = 4a Dividing both sides by 4, we get: a = 18 Therefore, the length of one side of the square is 18 cm. ### Answer: 18
Expected answer: 18
Correct? Yes
Problem: A square has a perimeter of 352m. What is the length of each side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 352m, so we can substitute this value into the equation: 352 = a + a + a + a Simplifying the equation, we get: 352 = 4a Dividing both sides by 4, we get: a = 83 Therefore, the length of each side of the square is 83m. ### Answer: 83
Expected answer: 88
Correct? No
Problem: A rectangle has 23m for its length and has a total perimeter of 116m. What is the length of its width?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of its lengths of all its sides. Therefore, the perimeter of the rectangle is: Perimeter = 2 x (length + width) We know that the length of the rectangle is 23m, so we can substitute this value into the equation: Perimeter = 2 x (23 + width) We also know that the total perimeter of the rectangle is 116m, so we can substitute this value into the equation: 116 = 2 x (23 + width) Simplifying the equation: 116 = 46 + 2 width Subtracting 46 from both sides: 60 = 2 width Dividing both sides by 2: 30 = width Therefore, the width of the rectangle is 30m. ### Answer: 30m
Expected answer: 35
Correct? No
Problem: A square has a perimeter of 124m. What is the length of each side?
CodeLlama 13B:
Reasoning: A square has four sides of equal length. Therefore, the length of each side is 124/4 = <<124/4=31>>31 meters. ### Answer: 31 meters
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?
CodeLlama 13B:
Reasoning: Let the length of the fourth side be x. Since the quadrilateral is a rectangle, the sum of the lengths of its sides is equal to the perimeter. So, 24 + 57 + 17 + x = 131 Simplifying the equation, we get: x = 131 - 98 = 33 Therefore, the length of the fourth side is 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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + b + a + b where a and b are the lengths of the two sides. We know that the perimeter is 254m, so we can substitute this value into the equation: 254 = a + b + a + b Simplifying the equation, we get: 254 = 2a + 2b Subtracting 2a from both sides gives us: 254 - 2a = 2b Subtracting 2b from both sides gives us: 254 - 2a - 2b = 0 Solving for b, we get: b = (254 - 2a) / 2 Substituting the value of a, which is 89m, into the equation, we get: b = (254 - 2(89)) / 2 b = 165 / 2 b = 82.5m Therefore, the length of the other side of the rectangle is 82.5m. ### Answer: 82.5m
Expected answer: 38
Correct? No
Problem: A square has a perimeter of 208m. What is the length of each side?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side. We are given that the perimeter is 208m, so we can substitute this value into the equation: 208 = a + a + a + a Simplifying the equation, we get: 4a = 208 Dividing both sides by 4, we get: a = 52 Therefore, the length of each side of the square is 52m. ### Answer: 52
Expected answer: 52
Correct? Yes
Problem: A square has a perimeter of 64m. What is the length of each side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 64m, so we can substitute this value into the equation: 64 = a + a + a + a Simplifying the equation, we get: 4a = 64 Dividing both sides by 4, we get: a = 16 Therefore, the length of each side of the square is 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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the total perimeter of the quadrilateral is 196 meters. We also know that the lengths of the three sides combined is 183 meters. So, the perimeter of the quadrilateral is: 196 = 92 + x + 29 + 62 Simplifying the equation: 196 = 92 + x + 29 + 62 196 - 92 = x + 29 + 62 104 = x + 29 + 62 104 - 29 = x + 62 75 = x + 62 75 - 62 = x 13 = x Therefore, the length of the fourth side is 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?
CodeLlama 13B:
Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides. In this case, the perimeter is given as 191 units. Let's call the length of the side opposite the 35-unit side "x" (since we don't know the length of this side yet). The perimeter of the quadrilateral is then: 35 + x + 76 + 5 = 191 Simplifying the equation: 35 + x + 76 + 5 = 191 35 + x + 81 = 191 x + 81 = 156 x = 75 So, the length of the side opposite the 35-unit side is 75 units. Therefore, the length of the fourth side is 191 - 35 - 76 - 5 = 191 - 116 = 75 units. ### Answer: 75 units.
Expected answer: 75
Correct? Yes
Problem: A square has a perimeter of 104m. What is the length of each side?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side. We are given that the perimeter is 104m, so we can substitute this value into the equation: 104 = a + a + a + a Expanding the equation, we get: 4a = 104 Dividing both sides by 4, we get: a = 26 Therefore, the length of each side of the square is 26m. ### Answer: 26
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. Since the length of the rectangle is 90 cm, the width must be 90 cm - perimeter = 198 cm - 90 cm = 108 cm. ### Answer: 108 cm
Expected answer: 9
Correct? No
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?
CodeLlama 13B:
Reasoning: Let's call the length of the remaining two opposite sides "x" and "y". Since the total perimeter of the garden is 128 feet, we can write an equation based on the perimeter formula: Perimeter = 2(x + y) We know that one pair of opposite sides is 47 feet, so we can substitute that value into the equation: Perimeter = 2(x + y) = 2(47 + y) Now we can solve for "y": y = Perimeter - 2(47) y = 128 - 94 y = 34 So the length of the remaining two opposite sides is 34 feet. ### Answer: 34
Expected answer: 17
Correct? No
Problem: A square has a perimeter of 356m. What is the length of one of its sides?
CodeLlama 13B:
Reasoning: The formula for the perimeter of a square is P = 4s, where s is the length of one side. Given that the perimeter is 356m, we can set up the equation: 4s = 356 Solving for s, we get: s = 356/4 s = 89 So, the length of one side of the square is 89m. ### Answer: 89
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?
CodeLlama 13B:
Reasoning: Let's call the length of the third side "x". We know that the perimeter of the quadrilateral is 236 units. We also know that the sum of the lengths of the three sides is 89 + 87 + x = 175 + x. We can set up an equation using these two pieces of information: 175 + x = 236 Subtracting 175 from both sides gives us: x = 59 Therefore, the length of the fourth side is 59 units. ### Answer: 59
Expected answer: 59
Correct? Yes
Problem: A square has a perimeter of 340 meters. What is the length of each side of this square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 340 meters, so we can substitute this value into the equation: 340 = a + a + a + a Expanding and simplifying the equation, we get: 340 = 4a Dividing both sides by 4, we get: a = 85 Therefore, the length of each side of the square is 85 meters. ### Answer: 85
Expected answer: 85
Correct? Yes
Problem: A square has a perimeter of 16m. What is the length of each side?
CodeLlama 13B:
Reasoning: A square has four sides of equal length. Therefore, the length of each side is half of the perimeter, which is 16/4 = <<16/4=4>>4 meters. ### Answer: 4 meters
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the total perimeter of the quadrilateral is 81m, so we can write an equation based on that: Perimeter = 1 + 54 + 9 + x We also know that the sum of the lengths of all four sides is equal to the perimeter, so we can write another equation based on that: 1 + 54 + 9 + x = 81 Now we have two equations and two variables (x and the length of the fourth side). We can solve the system of equations to find the value of x. Solving the system of equations, we get: x = 24 So the length of the fourth side is 24m. ### Answer: 24
Expected answer: 17
Correct? No
Problem: A quadrilateral, which is a perfect square, has a total perimeter of 316m. What is the length of each side of this square?
CodeLlama 13B:
Reasoning: Let the length of each side of the square be x. Since the quadrilateral is a square, all its sides are equal in length. Therefore, the perimeter of the square is 4x. We are given that the perimeter of the square is 316m. So, 4x = 316 Solving for x, we get x = 78. Therefore, the length of each side of the square is 78m. ### Answer: 78
Expected answer: 79
Correct? No
Problem: A square has a perimeter of 300m. How long is each side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Since the perimeter is 300m, we can set up the equation: 4s = 300 where s is the length of each side of the square. Solving for s, we get: s = 300/4 = 75m Therefore, each side of the square is 75m long. ### 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?
CodeLlama 13B:
Reasoning: Let's call the length of the remaining side "x". We know that the perimeter of the quadrilateral is 198m, so we can write an equation based on the formula for the perimeter of a quadrilateral: Perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides. We also know that two of the sides have lengths of 19m and 57m, so we can substitute those values into the equation: Perimeter = 19 + 57 + x + 22 Simplifying the equation, we get: Perimeter = 198 Now we can solve for x: x = 198 - 19 - 57 - 22 x = 198 - 106 x = 92 So the length of the remaining side is 92m. ### Answer: 92
Expected answer: 100
Correct? No
Problem: A square has a perimeter of 172m. What is the length of each side of the square?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all four sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of each side of the square. We are given that the perimeter is 172m, so we can substitute this value into the equation: 172 = a + a + a + a Expanding and simplifying the equation, we get: 4a = 172 Dividing both sides by 4, we get: a = 43 Therefore, the length of each side of the square is 43m. ### Answer: 43
Expected answer: 43
Correct? Yes
Problem: A square has a perimeter of 304 cm. What is the length of one of its sides?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. We are given that the perimeter is 304 cm, so we can substitute this value into the equation: 304 = a + a + a + a Simplifying the equation, we get: 304 = 4a Dividing both sides by 4, we get: a = 76 cm Therefore, the length of one side of the square is 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?
CodeLlama 13B:
Reasoning: The total perimeter of a rectangle is equal to the sum of the perimeters of its sides. Since the shorter sides are 51 meters long, the perimeter of each shorter side is 51 + 51 = 102 meters. The total perimeter of the rectangle is 158 meters, so the perimeter of the longer sides is 158 - 102 = 56 meters. Therefore, the length of each of the longer sides is 56/2 = 28 meters. ### Answer: 28
Expected answer: 28
Correct? Yes
Problem: A square has a perimeter of 72m. What is the length of one its sides?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. Substituting the given value of the perimeter, we get: 72 = a + a + a + a Expanding and simplifying, we get: 72 = 4a Dividing both sides by 4, we get: a = 18 Therefore, the length of one side of the square is 18 meters. ### Answer: 18
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?
CodeLlama 13B:
Reasoning: The total length of the fence is 166m, and two opposite sides are 19m each. Therefore, the length of the other two sides is 166 - 2 \* 19 = 166 - 38 = 128m. ### Answer: 128m
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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 246m, so we can write an equation based on the formula for the perimeter of a quadrilateral: P = a + b + c + d where a, b, c, and d are the lengths of the sides. We also know that two of the sides are 40m and 32m long, so we can substitute those values into the equation: P = a + b + c + d = 40 + 32 + x + x = 72 + 2x We also know that one of the sides is 95m long, so we can substitute that value into the equation: P = a + b + c + d = 40 + 32 + x + x = 72 + 2x = 95 + 2x Now we have two equations and two variables. We can solve for x by subtracting the two equations: 72 + 2x = 95 + 2x Subtracting the two equations gives us: 54 = 95 This is impossible, so there is no solution to the problem. ### Answer: There is no solution to the problem.
Expected answer: 79
Correct? No
Problem: A square has a perimeter of 32m. What is the length of one of its sides?
CodeLlama 13B:
Reasoning: The perimeter of a square is equal to the sum of the lengths of all its sides. Therefore, we can set up the equation: Perimeter = a + a + a + a where a is the length of one side of the square. Substituting the given value of the perimeter, we get: 32 = 4a Dividing both sides by 4, we get: a = 8 Therefore, the length of one side of the square is 8 meters. ### Answer: 8
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?
CodeLlama 13B:
Yes, I can find the length of one side of the square. Let's call the length of one side "x". Then, the perimeter of the square is given by the formula: Perimeter = 4x We are given that the perimeter is 12 meters, so we can set up the equation: 4x = 12 To solve for "x", we can divide both sides of the equation by 4: x = 12/4 x = 3 Therefore, the length of one side of the square is 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?
CodeLlama 13B:
Reasoning: Let's call the length of the fourth side "x". We know that the perimeter of the quadrilateral is 160m, so we can write an equation based on the formula for the perimeter of a quadrilateral: Perimeter = a + b + c + d where a, b, c, and d are the lengths of the sides. We also know that the three known sides have lengths of 29m, 16m, and 41m, so we can substitute those values into the equation: Perimeter = 29 + 16 + 41 + x Simplifying the equation, we get: 160 = 29 + 16 + 41 + x Subtracting 29 + 16 + 41 from both sides, we get: x = 160 - 76 x = 84 Therefore, the length of the fourth side is 84m. ### Answer: 84
Expected answer: 74
Correct? No
Problem: A rectangle has a perimeter of 98m. If one of its sides is 5m long, what is the length of the other side?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is equal to the sum of the lengths of all its sides. If one side is 5m long, the other side must be 98 - 5 = 93m long. ### Answer: 93
Expected answer: 44
Correct? No
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?
CodeLlama 13B:
Reasoning: The perimeter of a rectangle is the sum of the lengths of all its sides. In this case, the perimeter is 210m. Let's call the length of one side 45m. The other side must be 45m as well, since the rectangle is a square. The perimeter of the rectangle is then: 45m + 45m + 45m + 45m = 210m So, the length of each of the other two sides is also 45m. ### Answer: 45m
Expected answer: 60
Correct? No