DeepSeek Coder 33B 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?
DeepSeek Coder 33B:
The perimeter of a rectangle is given by the formula 2*(length + width). So, 324 = 2*(length + width) Solving for width gives: width = 324/2 - length Substituting the given length of 83 meters, we get: width = 324/2 - 83 Therefore, width = 324/2 - 83 = <<324/2 - 83=108>>108 meters.
Expected answer: 79
Correct? No
Problem: A square has a perimeter of 40m. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 40m, we can find the length of each side by dividing the perimeter by 4. The length of each side = perimeter � 4 = 40m � 4 = <<40/4=10>>10m. Therefore, the length of each side of the square is 10m.
Expected answer: 10
Correct? Yes
Problem: A square has a perimeter of 344m. What is the length of each side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, we can set up the equation 344m = 4a, where a is the length of each side of the square. Solving for a, we get a = 344m / 4 = <<344/4=86>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 348m, each side of the square would be 348/4 = <<348/4=87>>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?
DeepSeek Coder 33B:
Yes, the length of the other side of the rectangle can be determined. The perimeter of a rectangle is given by the formula: 2*(length + width). Given that the perimeter is 194 cm and one side is 49 cm, we can substitute these values into the formula to solve for the other side. 2*(length + width) = 194 2*(49 + width) = 194 98 + 2*width = 194 2*width = 194 - 98 2*width = 96 width = 96/2 width = 48 cm So, the length of the other side of the rectangle is 48 cm.
Expected answer: 48
Correct? Yes
Problem: A square has a perimeter of 192m. What is the length of one side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all sides added together. If the perimeter is 192m, then each side of the square is 192m/4 = <<192/4=48>>48m. ### Answer: 48m
Expected answer: 48
Correct? Yes
Problem: A square has a perimeter of 68cm. What is the length of one side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all sides added together. If the perimeter is 68cm, then each side must be 68/4 = 17cm. Therefore, the length of one side of the square is 17cm.
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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a rectangle is the sum of the lengths of all its sides. If one side is 4 meters, the other side must be the perimeter minus twice the length of one side. So, the other side is 52 - 2*4 = <<52-2*4=40>>40 meters.
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?
DeepSeek Coder 33B:
The sum of the lengths of the sides of a quadrilateral is equal to the perimeter of the quadrilateral. Therefore, the length of the fourth side of the quadrilateral is equal to the perimeter of the quadrilateral minus the sum of the lengths of the known sides. The length of the fourth side is therefore 229m - (93m + 98m + 36m) = 229m - 227m = 2m.
Expected answer: 2
Correct? Yes
Problem: The perimeter of a square is 16m. What is the length of each side of this square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 16m, each side of the square is 16m � 4 = <<16/4=4>>4m.
Expected answer: 4
Correct? Yes
Problem: A square has a perimeter of 272m. What is the length of each side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 272m, each side of the square is 272m / 4 = <<272/4=68>>68m.
Expected answer: 68
Correct? Yes
Problem: A square has a perimeter of 244m. What is the length of each side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 244m, we can find the length of each side by dividing the perimeter by 4. The length of each side of the square = <<244/4=61>>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?
DeepSeek Coder 33B:
Reasoning: The sum of the lengths of the sides of any quadrilateral is equal to the perimeter of the quadrilateral. Therefore, the length of the fourth side of the quadrilateral is the perimeter of the quadrilateral minus the sum of the lengths of the three known sides. So, the length of the fourth side is 227m - (70m + 29m + 61m) = 227m - 160m = 67m.
Expected answer: 67
Correct? Yes
Problem: A square has a perimeter of 280m. What is the length of the side of that square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 280m, each side of the square is 280m/4 = <<280/4=70>>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?
DeepSeek Coder 33B:
Reasoning: The sum of the lengths of all sides of a quadrilateral is equal to its perimeter. Therefore, the fourth side of the quadrilateral is equal to the perimeter minus the sum of the lengths of the known sides. The fourth side of the quadrilateral is 219 - (37 + 98 + 41) = <<219 - (37 + 98 + 41)=21>>21 cm.
Expected answer: 43
Correct? No
Problem: A square has a perimeter of 44m. Can you calculate the length of one side?
DeepSeek Coder 33B:
The perimeter of a square is the length of all sides added together. If the perimeter of a square is 44m, then each side of the square is 44m / 4 = <<44/4=11>>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?
DeepSeek Coder 33B:
The perimeter of a rectangle is given by 2*(length + width). So, 282 = 2*(length + width) Solving for width gives: width = 282/2 - length Substituting the given length of 71 meters into this equation gives: width = 282/2 - 71 width = 71 Therefore, the length of the shorter side is 71 meters.
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?
DeepSeek Coder 33B:
Reasoning: The total perimeter of a rectangle is given by 2*(length + width). So, 128 = 2*(length + width). If the shorter side is 57 meters, then the other side is 128/2 - 57 = 128/2 - 57 = <<128/2 - 57=21>>21 meters. ### Answer: 21 meters
Expected answer: 7
Correct? No
Problem: A square has a perimeter of 392m. What is the length of each side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, we can set up the equation 392 = 4x to solve for x, which is the length of each side of the square. 392 = 4x x = 392 / 4 x = 98 Therefore, the length of each side of the square is 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?
DeepSeek Coder 33B:
The perimeter of a rectangle is given by the formula 2*(length + width). Given that one side of the rectangle is 16m, the other side of the rectangle is the perimeter minus twice the length of one side. So, the length of the other side is 204m - 2*16m = 204m - 32m = 172m.
Expected answer: 86
Correct? No
Problem: A square has a perimeter of 336cm. What is the length of one of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. If we denote the length of one side as 'x', then the perimeter of the square is 4x. Given that the perimeter is 336cm, we can set up the equation 4x = 336 and solve for 'x'. x = 336/4 = <<336/4=84>>84cm. So, the length of one side of the square is 84cm.
Expected answer: 84
Correct? Yes
Problem: A square has a perimeter of 144 meters. What is the length of one side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 144 meters, then each side of the square is 144/4 = <<144/4=36>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides. So, we know that 69 + 50 + 39 + x = 236. Solving for x gives x = 236 - 69 - 50 - 39 = <<236-69-50-39=70>>70 cm. ### Answer: 70 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?
DeepSeek Coder 33B:
The sum of the lengths of the two known sides is 37 + 14 = 51cm. The sum of the lengths of the two unknown sides is 73 + x = 193 - 51 = 142cm. Therefore, x = 142 - 73 = 69cm. ### Answer: 69 cm
Expected answer: 69
Correct? Yes
Problem: A square has a perimeter of 160m. What is the length of one of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. If the perimeter of a square is 160m, then each side of the square is 160m/4 = 40m. Therefore, the length of one of its sides is 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?
DeepSeek Coder 33B:
The perimeter of a rectangle is given by 2*(length + width). So, 228 = 2*(length + width) Solving for width, we get: width = 228/2 - length Substituting the given length of 90 meters, we get: width = 228/2 - 90 width = 228/2 - 90 = <<228/2 - 90=45>>45 meters.
Expected answer: 24
Correct? No
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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all sides added together. If we denote the length of one side of the square as 'x', then the perimeter of the square is 4x. Given that the perimeter of the square is 136 meters, we can set up the equation 4x = 136 and solve for 'x'. x = 136/4 = <<136/4=34>>34 meters. Therefore, the length of one side of the square is 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?
DeepSeek Coder 33B:
Yes, the opposite side of the rectangle is 236 - 2*43 = <<236-2*43=150>>150 meters.
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?
DeepSeek Coder 33B:
The sum of the lengths of the two sides together is 58m. The sum of the lengths of the other two sides together is 54m + 1m = 55m. The perimeter of the quadrilateral is 206m. The sum of the lengths of all four sides is 206m. Therefore, the length of the missing portion of the perimeter is 206m - (58m + 55m) = 206m - 113m = <<206-113=93>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is 4 times the length of one side. So, if the perimeter is 284 meters, the length of one side is 284/4 = <<284/4=71>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a rectangle is given by 2*(length + width). We know that the perimeter is 150 feet and the length is 69 feet. We can set up the equation 2*(69 + width) = 150 to solve for the width. 69 + width = 75 width = 75 - 69 width = <<75-69=6>>6 feet. Therefore, the width of the rectangle is 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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a rectangle is the sum of the lengths of all its sides. If one side is 35m, the other side must be the total perimeter minus the length of one side. So, the other side is 166m - 35m = <<166-35>>131m.
Expected answer: 48
Correct? No
Problem: A square has a perimeter of 124m. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 124m, we can find the length of each side by dividing the perimeter by 4. 124m / 4 = <<124/4=31>>31m. Therefore, the length of each side of the square is 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?
DeepSeek Coder 33B:
The perimeter of a rectangle is given by the formula 2*(length + width). Given that the perimeter is 336 feet and one side is 79 feet, the length of the opposite side is given by 336/2 - 79 = 336/2 - 79 = 118 feet.
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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is equal to four times the length of one side. So, we can set up the equation 132 = 4*x, where x is the length of one side of the square. Solving for x gives us x = 132/4 = <<132/4=33>>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?
DeepSeek Coder 33B:
The perimeter of a rectangle is given by the formula 2*(length + width).
Given that the perimeter is 138 feet and the length is 46 feet, we can set up the equation 2*(46 + width) = 138.
Solving for width gives us width = (138 - 2*46) / 2.
Let's calculate it.
Reasoning:
width = (138 - 2*46) / 2
= (138 - 92) / 2
= 46 / 2
= 23
Therefore, the width of the rectangle is 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?
DeepSeek Coder 33B:
The width of the field is the total perimeter minus twice the length. So, the width of the field is 200 - 2*49 = <<200-2*49=51>>51 meters.
Expected answer: 51
Correct? Yes
Problem: A square has a perimeter of 200m. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 200m, we can find the length of each side by dividing the perimeter by 4. The length of each side = perimeter / 4 = 200m / 4 = 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?
DeepSeek Coder 33B:
The length of the fourth side can be found by subtracting the sum of the known sides from the total perimeter. The sum of the known sides is 9 + 30 + 71 = <<9+30+71=110>>110m. The length of the fourth side is 199m - 110m = <<199-110=89>>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?
DeepSeek Coder 33B:
Reasoning: The sum of the lengths of all sides of a quadrilateral is equal to its perimeter. Therefore, the length of the fourth side is the perimeter minus the sum of the lengths of the three known sides. The length of the fourth side is 207m - (35m + 62m + 70m) = <<207-35-62-70=25m>>25m.
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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a rectangle is the sum of the lengths of all its sides. If one side is 99cm, the other side would be 384cm - 99cm = 285cm. Therefore, the length of the longer sides of the rectangle is 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?
DeepSeek Coder 33B:
The length of the fourth side can be found by subtracting the sum of the lengths of the first three sides from the total perimeter. The sum of the lengths of the first three sides is 78 + 15 + 63 = <<78+15+63=156>>156m. The length of the fourth side is 255 - 156 = <<255-156=99>>99m.
Expected answer: 99
Correct? Yes
Problem: A square has a perimeter of 128m. What is the length of one of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. If the perimeter of a square is 128m, then each side of the square is 128m/4 = <<128/4=32>>32m. ### 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?
DeepSeek Coder 33B:
The perimeter of a rectangle is the sum of the lengths of all its sides. In this case, the rectangle has two sides of length 33 feet and two sides of length 63 feet. So, the perimeter is 2*33 + 2*63 = 96 feet. Therefore, the other pair of opposite sides of the rectangle are each 63 feet long.
Expected answer: 15
Correct? No
Problem: The perimeter of a square field is 112 meters. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 112 meters, each side of the square is 112/4 = <<112/4=28>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. If the perimeter of a square is 32 cm, then each side of the square is 32 cm / 4 = <<32/4=8>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 364m, we can find the length of each side by dividing the perimeter by 4. The length of each side of the square = <<364/4=91>>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?
DeepSeek Coder 33B:
Reasoning: The total perimeter of a rectangle is given by 2*(length + width). Given that the total perimeter is 144 feet and one side is 38 feet, the other side of the rectangle is 144/2 - 38 = <<144/2 - 38=50>>50 feet.
Expected answer: 34
Correct? No
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?
DeepSeek Coder 33B:
The sum of the lengths of all sides of a quadrilateral is equal to the perimeter. Therefore, the sum of the lengths of the two sides that add up to 54m and the two sides that add up to 22m and 37m is equal to 205m. Let's denote the length of the two sides that add up to 54m as x and y. Then, the other two sides add up to 22m and 37m. So, we have the following equation: x + y + 22 + 37 = 205 Solving this equation for x and y gives: x + y = 205 - 22 - 37 = <<205-22-37=160>>160 Therefore, the length of the remaining side to complete the perimeter is 160m.
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?
DeepSeek Coder 33B:
The perimeter of a rectangle is given by the formula 2*(length + width). Given that the perimeter of the field is 174m and the length of the field is 65m, we can set up the equation 2*(65 + width) = 174. Solving for width gives: 2*65 + width = 174 130 + width = 174 width = 174 - 130 width = 44 So, the width of the field is 44m.
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?
DeepSeek Coder 33B:
Reasoning: The sum of the lengths of all sides of a quadrilateral is equal to its perimeter. Therefore, the length of the fourth side is the perimeter minus the sum of the lengths of the three known sides. The fourth side = 176 cm - (25 cm + 17 cm + 89 cm) = <<176-25-17-89=30>>30 cm.
Expected answer: 45
Correct? No
Problem: A square has a perimeter of 372 meters. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 372 meters, we can find the length of each side by dividing the perimeter by 4. The length of each side = <<372/4=93>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all sides added together. Therefore, if we denote the length of one side of the square as 'x', we have the equation: 4x = 240. Solving this equation for 'x' gives us the length of one side of the square. Let's solve it: 4x = 240, then x = 240/4 = <<240/4=60>>60 meters. Therefore, the length of one side of the square 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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a rectangle is the sum of the lengths of all its sides. If one side of the rectangle is 97 meters, then the other side must be the total perimeter minus the length of one side. So, the length of the other side is 242 - 97 = <<242-97=145>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is equal to the length of each side multiplied by 4. So, if the perimeter is 316 meters, we can find the length of each side by dividing the perimeter by 4. The length of each side of the square is 316/4 = <<316/4=84>>84 meters.
Expected answer: 79
Correct? No
Problem: A square has a perimeter of 268cm. What is the length of each side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 268cm, each side of the square is 268/4 = <<268/4=67.0>>67.0 cm.
Expected answer: 67
Correct? Yes
Problem: A square has a perimeter of 348m. What is the length of each side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 348m, each side of the square is 348/4 = <<348/4=87>>87m.
Expected answer: 87
Correct? Yes
Problem: A square has a perimeter of 400m. What is the length of one of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. Therefore, if we denote the length of one side as 'x', we have the equation: 4x = 400. Solving for 'x', we get: x = 400/4 = <<400/4=100>>100m. Therefore, the length of one side of the square is 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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a quadrilateral is the sum of its four sides. So, we know that 81m + 100m + 19m + 4th side = 243m. We can solve for the 4th side by subtracting the sum of the other three sides from the total perimeter. 4th side = 243m - (81m + 100m + 19m) = 243m - 200m = 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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a rectangle is the sum of the lengths of all its sides. If one side is 50cm long, the other side must be the total perimeter minus the length of one side. So, the other side is 186cm - 50cm = <<186-50=136>>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?
DeepSeek Coder 33B:
The perimeter of a rectangle is given by the formula 2*(length + width). Given that the perimeter is 224 cm and one side is 78 cm, the length of the adjacent side is 224/2 - 78 = 76 cm.
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?
DeepSeek Coder 33B:
The total perimeter of a quadrilateral is the sum of the lengths of all its sides. So, we know that 79m + 97m + 51m + 4th side = 235m. We can solve this equation for the length of the fourth side. 235m - 79m - 97m - 51m = 4th side 235m - 223m = 4th side 12m = 4th side So, the length of the fourth side is 12m.
Expected answer: 8
Correct? No
Problem: A square has a perimeter of 28m. Can you calculate the length of one side of this square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all sides added together. If we denote the length of one side of the square as 'x', then we have the equation x + x + x + x = 28. Solving this equation for 'x' gives us the length of one side of the square. x = 28 / 4 = <<28/4=7>>7m. So, the length of one side of the square is 7m.
Expected answer: 7
Correct? Yes
Problem: A square has a perimeter of 48cm. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 48cm, each side length is 48cm � 4 = <<48/4=12>>12cm. ### Answer: 12cm
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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all sides added together. Therefore, if we denote the length of one side of the square as 'x', we have the equation: 4x = 184. Solving for 'x', we get: x = 184/4 = <<184/4=46>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 56 meters, we can find the length of each side by dividing the perimeter by 4. The length of each side = perimeter / 4 = <<56/4=14>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its four sides. So, we know that 97 + 5 + 30 + x = 157. We can solve for x by subtracting the known sides from the total perimeter. x = 157 - (97 + 5 + 30) x = 157 - 132 x = <<157-132=25>>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?
DeepSeek Coder 33B:
The fourth side of the quadrilateral is the remaining length of the perimeter after subtracting the lengths of the first three sides. So, the fourth side is 173m - 46m - 50m - 35m = <<173-46-50-35=0>>0m. However, this is not possible because the sum of the lengths of the sides of a quadrilateral should be less than or equal to the perimeter. This means that the sum of the lengths of the sides should be less than or equal to 173m. In this case, 46m + 50m + 35m = 131m, which is less than 173m. Therefore, the lengths given for the sides of the quadrilateral do not form a valid quadrilateral.
Expected answer: 42
Correct? No
Problem: A square has a perimeter of 72 cm. What is the length of one of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. If the perimeter of a square is 72 cm, then each side of the square is 72 cm / 4 = <<72/4=18>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, we can set up the equation 352 = 4x to solve for x, which is the length of each side of the square. x = 352 / 4 = <<352/4=88>>88m. Therefore, the length of each side of the square is 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?
DeepSeek Coder 33B:
The total perimeter of a rectangle is given by the formula 2*(length + width). So, we can set up the equation 2*(length + width) = 116 and solve for the width. Let's denote the length of the rectangle as 'l' and the width as 'w'. From the problem, we know that l = 23m. Substituting these values into the equation, we get: 2*(23 + w) = 116 2*23 + 2*w = 116 46 + 2*w = 116 2*w = 116 - 46 2*w = 66 w = 66/2 w = 33 So, the width of the rectangle is 33m.
Expected answer: 35
Correct? No
Problem: A square has a perimeter of 124m. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 124m, we can find the length of each side by dividing the perimeter by 4. 124m / 4 = <<124/4=31>>31m. Therefore, the length of each side of the square is 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?
DeepSeek Coder 33B:
Reasoning: The total perimeter of a quadrilateral is the sum of the lengths of all its sides. So, we can set up the equation 24 + 57 + 17 + x = 131. Solving for x gives us the length of the fourth side. Reasoning: 24 + 57 + 17 + x = 131 x = 131 - 24 - 57 - 17 x = 131 - 98 x = 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?
DeepSeek Coder 33B:
The perimeter of a rectangle is the sum of the lengths of all its sides. If one side of the rectangle is 89m, then the other side must be 254m - 89m = 165m.
Expected answer: 38
Correct? No
Problem: A square has a perimeter of 208m. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 208m, we can find the length of each side by dividing the perimeter by 4. The length of each side = perimeter / 4 = 208m / 4 = <<208/4=52>>52m.
Expected answer: 52
Correct? Yes
Problem: A square has a perimeter of 64m. What is the length of each side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 64m, each side of the square is 64m/4 = <<64/4=16>>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?
DeepSeek Coder 33B:
The total perimeter of the quadrilateral is 196 meters. The lengths of three of its sides combined is 183 meters. Therefore, the length of the fourth side is 196 - 183 = <<196-183=13>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a quadrilateral is the sum of the lengths of all its sides. So, we know that 35 + 76 + 5 + x = 191. We can solve for x by subtracting the known sides from the total perimeter. x = 191 - 35 - 76 - 5 x = 191 - 142 x = <<191-142=49>>49 units. So, the length of the fourth side is 49 units.
Expected answer: 75
Correct? No
Problem: A square has a perimeter of 104m. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 104m, we can find the length of each side by dividing the perimeter by 4. 104m / 4 = <<104/4=26>>26m. Therefore, the length of each side of the square is 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?
DeepSeek Coder 33B:
The perimeter of a rectangle is given by the formula 2*(length + width). Given that the perimeter is 198 cm and the length is 90 cm, we can set up the equation 2*(90 + width) = 198 and solve for width. 2*90 + 2*width = 198 180 + 2*width = 198 2*width = 198 - 180 2*width = 18 width = 18/2 width = 9 cm. Therefore, the width of the rectangle is 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?
DeepSeek Coder 33B:
Reasoning: The total perimeter of the garden is 128 feet. Jack has already planned for one pair of opposite sides to be 47 feet each. So, the remaining two opposite sides should be 128 - 2*47 = <<128-2*47=47>>47 feet each. ### Answer: 47
Expected answer: 17
Correct? No
Problem: A square has a perimeter of 356m. What is the length of one of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. If we denote the length of one side as 'x', then the perimeter of the square is 4x. Given that the perimeter is 356m, we can set up the equation 4x = 356 and solve for 'x'. x = 356/4 = <<356/4=89>>89m. So, the length of one side of the square is 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?
DeepSeek Coder 33B:
The sum of the lengths of the sides of any quadrilateral is equal to the perimeter of the quadrilateral. Therefore, the fourth side of the quadrilateral must be equal to the perimeter of the quadrilateral minus the sum of the lengths of the known sides. The fourth side of the quadrilateral is therefore 236 - (89 + 87 + 1) = 236 - 177 = 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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 340 meters, each side of the square is 340/4 = <<340/4=85>>85 meters.
Expected answer: 85
Correct? Yes
Problem: A square has a perimeter of 16m. What is the length of each side?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 16m, each side length is 16m � 4 = <<16/4=4>>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?
DeepSeek Coder 33B:
The total perimeter of a quadrilateral is the sum of the lengths of all its sides. So, we can set up the equation 1m (first side) + 54m (second side) + 9m (third side) + 4th side = 81m. We can solve this equation to find the length of the fourth side. 1m + 54m + 9m + 4th side = 81m 4th side = 81m - (1m + 54m + 9m) 4th side = 81m - 74m 4th side = 6m So, the length of the fourth side is 6m.
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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is given by 4*side. So, we can set up the equation 4*side = 316 and solve for side. side = 316/4 = <<316/4=84>>84m. Therefore, the length of each side of the square is 84m.
Expected answer: 79
Correct? No
Problem: A square has a perimeter of 300m. How long is each side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 300m, each side of the square is 300m / 4 = <<300/4=75>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a quadrilateral is the sum of the lengths of its sides. So, we can set up the equation 198 = 19 + 57 + 22 + x, where x is the length of the remaining side. Solving this equation gives x = 198 - 19 - 57 - 22 = 70m. Therefore, the length of the remaining side is 70m.
Expected answer: 100
Correct? No
Problem: A square has a perimeter of 172m. What is the length of each side of the square?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of each side multiplied by 4. So, if the perimeter is 172m, each side of the square is 172m / 4 = <<172/4=43>>43m.
Expected answer: 43
Correct? Yes
Problem: A square has a perimeter of 304 cm. What is the length of one of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. If we denote the length of one side as 'x', then the perimeter of the square is 4x. Given that the perimeter is 304 cm, we can set up the equation 4x = 304 and solve for 'x'. x = 304 / 4 = <<304/4=76>>76 cm. So, the length of one side of the square is 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?
DeepSeek Coder 33B:
Reasoning: The total perimeter of a rectangle is the sum of the lengths of all four sides. Since the shorter sides are 51 meters long, the longer sides must be 158 - 2*51 = <<158-2*51=55>>55 meters long. ### Answer: 55 meters
Expected answer: 28
Correct? No
Problem: A square has a perimeter of 72m. What is the length of one its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. If the perimeter is 72m, then each side of the square is 72m / 4 = <<72/4=18>>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?
DeepSeek Coder 33B:
Reasoning: The total length of the fence is the sum of the lengths of all four sides. Since the two opposite sides are the same length, they contribute twice their length to the total. The other two sides contribute once each. Therefore, the total length of the fence is 2 * 19m + 2 * x = 166m. Solving this equation for x gives us the length of each of the other two sides. Reasoning: 2 * 19m + 2 * x = 166m 19m + 2x = 83m 2x = 83m - 19m 2x = 64m x = 64m / 2 x = 32m Therefore, the length of each of the other two sides is 32m.
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?
DeepSeek Coder 33B:
The sum of the lengths of the sides of any quadrilateral is equal to its perimeter. So, we can set up the equation: 40 + 32 + 95 + x = 246 Solving this equation for x gives us the length of the fourth side. Reasoning: 40 + 32 + 95 + x = 246 x = 246 - 40 - 32 - 95 x = 246 - 167 x = 79 Therefore, the length of the fourth side is 79m.
Expected answer: 79
Correct? Yes
Problem: A square has a perimeter of 32m. What is the length of one of its sides?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all its sides added together. If the perimeter of a square is 32m, then each side of the square is 32m / 4 = <<32/4=8>>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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a square is the length of all sides added together. If the perimeter of a square is 12 meters, then each side of the square is 12 meters / 4 = <<12/4=3>>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?
DeepSeek Coder 33B:
Reasoning: The sum of the lengths of all sides of a quadrilateral is equal to its perimeter. Therefore, the fourth side of the quadrilateral is equal to the perimeter minus the sum of the known sides. The fourth side = 160m - (29m + 16m + 41m) = 160m - 86m = 74m. Therefore, the length of the fourth side is 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?
DeepSeek Coder 33B:
Reasoning: The perimeter of a rectangle is given by 2*(length + width). If one side of the rectangle is 5m, the other side must be (98m - 2*5m)/2 = 44m - 10m = 34m. ### Answer: 34m
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?
DeepSeek Coder 33B:
The total perimeter of a rectangle is the sum of the lengths of all four sides. Given that the rectangle has two sides of length 45m each, the other two sides must also be 45m each. Therefore, the length of each of the other two sides is 45m.
Expected answer: 60
Correct? No