MathCAMPS Logo

InternLM-Math Base 7B on 3.MD.D.8-polygon

Common Core Standard 3.MD.D.8-polygon

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

Problem: A sum of several measurements taken along the edge of a plot of land totals to 368 miles. The individual measurements are 41 miles, 28 miles, 90 miles, 32 miles, 10 miles, and 98 miles. What is the remaining measurement that hasn't been included in the total yet?

InternLM-Math Base 7B: 

 Reasoning: The sum of the measurements is 368. The sum of the first 5 measurements is 41+28+90+32+10= <<41+28+90+32+10=199>>199. The sum of the first 6 measurements is 199+98= <<199+98=297>>297. The sum of all 7 measurements is 297+<<?>>=368. The 7th measurement is 368-297= <<368-297=71>>71.

Expected answer: 69

Correct? No

🔗 Problem

Problem: A regular pentagon has side lengths of 70cm, 36cm, 53cm, and 45cm. If the total perimeter of the pentagon is 300cm, what is the length of its fifth side?

InternLM-Math Base 7B: 

 Reasoning: The sum of the first four sides is 70+36+53+45= <<70+36+53+45=200>>200cm. The sum of the first four sides and the fifth side is 300cm. The fifth side is 300-200= <<300-200=100>>100cm.
### Answer: 100

Expected answer: 96

Correct? No

🔗 Problem

Problem: A regular nonagon (9-sided polygon) has side lengths of 14cm, 94cm, 3cm, 20cm, 57cm, 83cm, 96cm, and 85cm. If the perimeter of the nonagon is 521cm, what is the length of the ninth side?

InternLM-Math Base 7B: 

 Reasoning: The sum of the lengths of the first 8 sides is 521-3-14 = 504cm. The sum of the first 8 sides is 3/8 of the total length of the 9th side. 3/8*504 = 162. 162+3= <<162+3=165>>165. The 9th side is 165cm.
### Answer: 165

Expected answer: 69

Correct? No

🔗 Problem

Problem: A polygon has sides measuring 54cm, 51cm, 5cm, 22cm, and 93cm. If the total perimeter of the polygon is 274cm, what is the length of the sixth side?

InternLM-Math Base 7B: 

 Reasoning: The sum of the first 5 side lengths is 54+51+5+22+93= <<54+51+5+22+93=224>>224. The sum of the 6 side lengths is 274. Therefore, the length of the sixth side is 274-224= <<274-224=50>>50.

Expected answer: 49

Correct? No

🔗 Problem

Problem: A regular pentagon has a perimeter of 310 m. What is the length of each side?

InternLM-Math Base 7B: 

 Reasoning: 310/5 = <<310/5=62>>62
The length of each side is 62 m.

Expected answer: 62

Correct? Yes

🔗 Problem

Problem: A polygon has side lengths of 78cm, 93cm, 21cm, 4cm, and 21cm. If the total perimeter of the shape is 315cm, then what is the length of the last side?

InternLM-Math Base 7B: 

 Reasoning: The first side of the shape is 78cm. The next side is 93cm. The next side is 21cm. The next side is 4cm. The next side is 21cm. The last side is 21cm. The total perimeter of the shape is 78+93+21+4+21+21 = <<78+93+21+4+21+21=315>>315cm.
The last side of the shape is 21cm.

Expected answer: 98

Correct? No

🔗 Problem

Problem: A regular 8-sided polygon, an octagon, has a perimeter of 160m. What is the length of each side?

InternLM-Math Base 7B: 

 Reasoning: The length of each side of a regular 8-sided polygon is 160/8 = <<160/8=20>>20m.
### Answer: 20

Expected answer: 20

Correct? Yes

🔗 Problem

Problem: Consider an octagon. Its seven sides have lengths 6cm, 4cm, 95cm, 34cm, 19cm, 14cm, and 26cm. What is the length of the other side if the total perimeter of the octagon is 224cm?

InternLM-Math Base 7B: 

 Reasoning: The other side of the octagon is 6cm.

Expected answer: 26

Correct? No

🔗 Problem

Problem: A regular hexagon has a perimeter of 174 meters. If all sides are equal, what is the length of one side?

InternLM-Math Base 7B: 

 Reasoning: 6*28.8 = <<6*28.8=172.8>>172.8
### Answer: 28.8

Expected answer: 29

Correct? No

🔗 Problem

Problem: A dodecagon has side lengths of 65cm, 22cm, 32cm, 31cm, 78cm, 88cm, 7cm, 29cm, 36cm, and 54cm. The total perimeter of the dodecagon is 538cm. What is the length of the 11th side?

InternLM-Math Base 7B: 

 Reasoning: The 11th side of the dodecagon is 538-<<538- (65+22+32+31+78+88+7+29+36+54) = 538- 538 = 0>>0 = 0cm.
### Answer: 0

Expected answer: 96

Correct? No

🔗 Problem

Problem: A hexagon has five side lengths of 61 cm, 84 cm, 80 cm, 11 cm, and 71 cm. What should be the length of the last side so that the sum of lengths of all sides is 357 cm?

InternLM-Math Base 7B: 


        

            Expected answer:
            50
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular octagon has a perimeter of 544m. What is the length of one side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 8*<<8*?>>=544
8*<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=<<8*?>>/8=

        

            Expected answer:
            68
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            The perimeter of a regular decagon (10-sided polygon) is 960m. Find the length of one side.
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The perimeter of a decagon is 10 times the length of one side. The length of one side is 960m/10 = <<960m/10=96>>96m.
### Answer: 96


        

            Expected answer:
            96
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon (7-sided polygon) has an unknown side length. If its total perimeter is 203m, how long is each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The total length of 7 sides of a heptagon is 203m. The length of one side is 203/7 = <<203/7=29>>29m.
### Answer: 29


        

            Expected answer:
            29
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon (7-sided polygon) has a perimeter of 49 meters. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 7*<<7*7=49>>49 = 49. The length of each side is 7 meters.


        

            Expected answer:
            7
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            The perimeter of a regular heptagon is 329m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side of a regular heptagon is 329/7 = <<329/7=47>>47m.
### Answer: 47


        

            Expected answer:
            47
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            The sides of a heptagon have lengths of 86m, 80m, 47m, 93m, and 99m. If the total perimeter of the heptagon is 486m, what is the length of the sixth side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the first 5 sides of the heptagon is 486-99 = <<486-99=387>>387m. The sixth side is 387/2 = <<387/2=193.5>>193.5m.

        

            Expected answer:
            81
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon has a perimeter of 546m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 7*<<7*78=546>>78 = 546
The heptagon has side length 78m.
### Answer: 78


        

            Expected answer:
            78
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A nonagon (nine-sided polygon) has 8 of its sides with lengths 26cm, 45cm, 75cm, 68cm, 63cm, 80cm, and 100cm, respectively. If the perimeter of the nonagon is 532cm, what is the length of the ninth side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the 8 given side lengths is 26+45+75+68+63+80+100 = <<26+45+75+68+63+80+100=532>>532cm. The 9th side length is 532-<<26+45+75+68+63+80+100=532>>= <<532-26-45-75-68-63-80-100=532-532=0>>0cm.
### Answer: 0

        

            Expected answer:
            75
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            The sides of a decagon are 62m, 76m, 98m, 74m, another unknown side, 54m, 4m, 24m, and 48m respectively. All sides are equal in length. If the perimeter of the shape is 452m, what is the length of the unknown side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The unknown side is 452-62-76-98-74-54-4-24-48 = <<452-62-76-98-74-54-4-24-48= 452- 62- 76- 98- 74- 54- 4- 24- 48= 452- 2x 4- 2x 4- 2x 4- 2x 4- 2x 4- 2x 4- 2x 4= 452- 8x 4= 452- 32= 420>>420m.

        

            Expected answer:
            12
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a perimeter of 78m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 1/6 of the perimeter of a regular hexagon is the length of 1 of its sides. The length of 1 of the sides of a regular hexagon is 78/6 = <<78/6=13>>13m.
### Answer: 13


        

            Expected answer:
            13
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular nonagon has a perimeter of 171m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 171/9 = <<171/9=19>>19m
### Answer: 19


        

            Expected answer:
            19
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A nonagon has the following side lengths: 8 cm, 17 cm, 30 cm, 17 cm, 86 cm, 55cm, and 68cm. It also has one unknown side length. The overall perimeter of the nonagon is 318 cm. What is the length of the unknown side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 8+17+30+17+86+55+68+ <<unknown>> = 318
<<unknown>> = 318-8-17-30-17-86-55-68
<<unknown>> = 318-8-17-30-17-86-55-68
<<unknown>> = 318-8-17-30-17-86-55-68
<<unknown>> = 318-8-17-30-17-86-55-68


        

            Expected answer:
            37
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            An 11-sided regular polygon has a perimeter of 858m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 858m/11 = <<858m/11=78.9>>78.9m
### Answer: 78.9


        

            Expected answer:
            78
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular decagon has a perimeter of 360m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        

        

            Expected answer:
            36
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a perimeter of 522m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side of the regular hexagon is 522/6 = <<522/6=86>>86m.
### Answer: 86


        

            Expected answer:
            87
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular polygon has a perimeter of 418m. If each side is the same length, what is the length of each side? Assume the polygon has 11 sides.
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 418/11 = <<418/11=37.90909090909091>>37.9m
### Answer: 37.9


        

            Expected answer:
            38
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A polygon has side lengths of 56m, 73m, 39m, 24m, and 26m. If the total perimeter of the polygon is 278m, what is the length of the sixth side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the first 5 side lengths is 56m+73m+39m+24m+26m = 256m. 256m+<<256m+278m=>>278m = 278m. The sixth side length is 278m-256m=<<278m-256m=22>>22m.
### Answer: 22


        

            Expected answer:
            60
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular pentagon has a perimeter of 385cm. How long is each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 385/5 = <<385/5=77>>77
Each side is 77cm long.
### Answer: 77


        

            Expected answer:
            77
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            The perimeter of a very irregular eleven-sided polygon is 663m. Of those eleven sides, ten are known to be 97m, 93m, 35m, 1m, 27m, 86m, 68m, 96m, 45m, and 61m respectively. What is the length of the unknown eleventh side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the ten known side lengths is 97+93+35+1+27+86+68+96+45+61 = <<97+93+35+1+27+86+68+96+45+61= 663>>663m. The sum of the 11 side lengths is 663m. Therefore, the 11th side length is 663-97-93-35-1-27-86-68-96-45-61 = <<663-97-93-35-1-27-86-68-96-45-61= 0>>0m.

        

            Expected answer:
            54
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A decagon has side lengths of 54m, 49m, 85m, 48m, 85m, 19m, 94m, 44m, and 54m respectively. The length of the tenth side is not known. What is the length of this side if the total perimeter of the decagon is 575m?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the 9 side lengths of the decagon is 575m. The length of the unknown side is 575m-<<sum of the 9 other side lengths>>m = 575m-<<sum of the 9 other side lengths>>m.

        

            Expected answer:
            43
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            Given a regular octagon with a perimeter of 248m, what is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 248/8 = <<248/8=31>>31
### Answer: 31


        

            Expected answer:
            31
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular pentagon has a perimeter of 390m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side of a regular pentagon is 390/5 = <<390/5=78>>78m.
### Answer: 78


        

            Expected answer:
            78
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A decagon has nine side lengths given as 6m, 85m, 83m, 73m, 25m, 66m, 54m, 87m, and 21m. If the total perimeter is 522m, find the length of the tenth side.
        

        

            InternLM-Math Base 7B:
        

        
|


        

            Expected answer:
            22
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular octagon has a perimeter of 408m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side of the regular octagon is 408/8 = <<408/8=51>>51m.
### Answer: 51


        

            Expected answer:
            51
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            An octagon has an equal length of sides. If the perimeter of the octagon is 696m, what is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 The length of each side of the octagon is 86m.


        

            Expected answer:
            87
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            An octagon has a perimeter of 744m. What is the length of each side if all sides are equal?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 8x = 744. x = 744/8 = <<744/8=93>>93. Each side of the octagon is 93m.

        

            Expected answer:
            93
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular nonagon (9-sided polygon) has a perimeter of 270m. What is the length of one side?
        

        

            InternLM-Math Base 7B:
        

        

        

            Expected answer:
            30
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A nonagon nine-sided polygon has eight known side lengths: 30cm, 18cm, 68cm, 23cm, 72cm, 57cm, 33cm, and 19cm. If the total perimeter of the nonagon is 350cm, what is the length of the unknown ninth side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the side lengths of the nonagon is 30+18+68+23+72+57+33+19+<<unknown side>> = 350. 30+18+68+23+72+57+33+19+<<unknown side>> = 350 201+<<unknown side>> = 350 <<unknown side>> = 350-201 <<unknown side>> = 49
### Answer: 49


        

            Expected answer:
            30
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A nonagon has eight side lengths known which are 19m, 7m, 10m, 16m, 32m, 15m and 70m. What is the length of the ninth side if the total perimeter of the nonagon is 188m?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The nonagon has 8 sides, and the 9th side is 188m-8sides = 188m-<<19m+7m+10m+16m+32m+15m+70m=198m>>198m=<<188m-198m=-10m>>-10m.

        

            Expected answer:
            19
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a perimeter of 90m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side of a regular hexagon is 15m.
### Answer: 15


        

            Expected answer:
            15
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 287/7 = <<287/7=41>>41m
The length of each side is 41m.


        

            Expected answer:
            41
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular pentagon has a perimeter of 50m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 50m/5 = <<50m/5=10m>>10m
The length of each side of the regular pentagon is 10m.


        

            Expected answer:
            10
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular nonagon has a perimeter of 63m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 63/9 = <<63/9=7>>7m
### Answer: 7


        

            Expected answer:
            7
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a perimeter of 354m. What is the length of one side of this hexagon?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 354/6 = <<354/6=59>>59m
### Answer: 59


        

            Expected answer:
            59
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A polygon has side lengths of 59m, 16m, 15m, 35m, 89m, 16m, 43m and 7m. If the total perimeter of the polygon is 286m, what is the length of the last unknown side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the first 8 side lengths is 286m. The last side length is 286m- (59m+16m+15m+35m+89m+16m+43m) = 286m- 285m= <<286m- 285m=1>>1m.
### Answer: 1


        

            Expected answer:
            6
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon (7-sided polygon) has a perimeter of 616m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side is 616/7 = <<616/7=88>>88m.
### Answer: 88


        

            Expected answer:
            88
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a perimeter of 36m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: A regular hexagon has 6 equal sides. The length of each side is 36/6 = <<36/6=6>>6m.
### Answer: 6


        

            Expected answer:
            6
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A dodecagon has 11 of its 12 sides already measured. The lengths are 88cm, 24cm, 83cm, 64cm, 16cm, 14cm, 90cm, 36cm, and 47cm respectively. If the total perimeter of the dodecagon is 492cm, what is the length of the twelfth side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the 11 given side lengths is 88+24+83+64+16+14+90+36+47 = <<88+24+83+64+16+14+90+36+47= 492>>492. The 12th side is 492-11sides = 492- <<88+24+83+64+16+14+90+36+47= 492>>492 = 0. The twelfth side is 0.
### Answer: 0


        

            Expected answer:
            30
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a perimeter of 306m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        

        

            Expected answer:
            51
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon (7-sided polygon) has a perimeter of 238 meters. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side of a regular heptagon is 238/7 = <<238/7=33.428>>33.4 meters.
### Answer: 33.4


        

            Expected answer:
            34
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a total perimeter of 42m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 42/6 = <<42/6=7>>7m
### Answer: 7


        

            Expected answer:
            7
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular octagon has a perimeter of 624m. What is the length of each side of the octagon?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 624/8 = <<624/8=78>>78
The length of each side of the octagon is 78m.


        

            Expected answer:
            78
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A polygon with nine sides has lengths of 17m, 13m, 61m, 16m, 11m, 83m, 28m, 48m, and 93m. What is the length of the tenth side if the total perimeter of the polygon is 468 meters?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the first 9 side lengths is 468 – 10 = 458m. The sum of the 8 side lengths 17m, 13m, 61m, 16m, 11m, 83m, 28m, 48m is 300m. The 9th side length is 83m. The 10th side length is 458 – 300 – 83 = 75m.
### Answer: 75

        

            Expected answer:
            98
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular pentagon has a perimeter of 380m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 380/5 = <<380/5=76>>76m.

        

            Expected answer:
            76
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular octagon has a perimeter of 104cm. What is the length of one of its sides?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 104/8 = <<104/8=13>>13. The length of one of its sides is 13cm.
### Answer: 13


        

            Expected answer:
            13
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon (7-sided polygon) has a perimeter of 637m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 637m/7 = <<637m/7=91.0>>91m. The length of each side of the heptagon is 91m.


        

            Expected answer:
            91
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular pentagon has a perimeter of 35m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 5s=35. 5s/5=35/5. s=7. The length of each side is 7m.


        

            Expected answer:
            7
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            The perimeter of a pentagon is 223cm. The lengths of four of its sides are 45cm, 93cm, 36cm, and 22cm respectively. What is the length of the fifth side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the lengths of the four sides of the pentagon is 45+93+36+22 = 216cm. The sum of the lengths of the four given sides is 45+93+36+22 = 216cm. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216+?=223>>223. The sum of the lengths of the given sides and the length of the unknown side is 216+<<216

        

            Expected answer:
            27
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A polygon has sides measuring 75cm, 81cm, 22cm, 94cm, 91cm, and 10cm. If the perimeter of the polygon is 423cm, what is the length of the last unknown side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The first five sides of the polygon are 75, 81, 22, 94, and 91. The last side is 10. 75+81+22+94+91+10 = 423. The last side is 10.

        

            Expected answer:
            50
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular decagon (10-sided polygon) has a perimeter of 600m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 600m/10 = <<600m/10=60>>60m
### Answer: 60m


        

            Expected answer:
            60
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            The perimeter of a regular octagon is 632m. What is the length of each of its sides?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The perimeter of a regular octagon is 8 times the length of a side. So, 8 times the length of a side is 632m. Divide 632m by 8 to get the length of a side. ### Answer: 79m


        

            Expected answer:
            79
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular septagon (7-sided polygon) has a total perimeter of 161m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 161m/7 = <<161m/7=23>>23m
The length of each side is 23m.


        

            Expected answer:
            23
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a perimeter of 96m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side of a regular hexagon is 96/6 = <<96/6=16>>16m.
### Answer: 16

        

            Expected answer:
            16
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A nonagon (9-sided polygon), has sides with length 50m, 31m, 24m, 28m, 13m, 97m, 63m and 88m. Find the length of the ninth side if the total perimeter of the nonagon is 402m.
        

        

            InternLM-Math Base 7B:
        

        

        

            Expected answer:
            8
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon (7-sided polygon) has a perimeter of 385m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 385m/7 = <<385m/7=55>>55m
The heptagon has 7 sides, each 55m long.
### Answer: 55m


        

            Expected answer:
            55
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            The total perimeter of a polygon is 358 meters. The lengths of five of its sides are 89 meters, 2 meters, 10 meters, 48 meters, and 94 meters respectively, and another side measures 59 meters. What is the length of the remaining side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the lengths of the 5 given sides is 89+2+10+48+94 = 243 meters. The sum of the 6 given sides is 243+59 = 302 meters. The sum of the 6 given sides is 302-59 = 243 meters less than the total perimeter. The length of the remaining side is 358-243 = <<358-243=115>>115 meters.
### Answer: 115


        

            Expected answer:
            56
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            An octagon has a equal sides and its total perimeter is 496m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The number of sides in an octagon is 8. The total perimeter of the octagon is 496m. The length of each side of the octagon is 496/8 = <<496/8=62>>62m.
### Answer: 62


        

            Expected answer:
            62
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular octagon has a perimeter of 800m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 800m/8 = <<800m/8=100>>100m
The length of each side of the octagon is 100m.
### Answer: 100


        

            Expected answer:
            100
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular nonagon has a certain side length. If the perimeter of the nonagon is 702 m, what is the length of one side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 702/9 = <<702/9=78>>78
The length of one side of the nonagon is 78 m.


        

            Expected answer:
            78
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular nonagon has a perimeter of 855cm. What is the length of one side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 855/9 = <<855/9=95>>95
The length of one side is 95cm.


        

            Expected answer:
            95
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            If a regular heptagon has a perimeter of 504 meters, find the length of its side.
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of the side of a regular heptagon is 504/7 = <<504/7=72>>72 meters.
### Answer: 72


        

            Expected answer:
            72
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular nonagon has a perimeter of 657m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 657/9 = <<657/9=73.0>>73.0
### Answer: 73.0


        

            Expected answer:
            73
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            Given a regular octagon where the total perimeter is 48 cm, what is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The total perimeter of a regular octagon is 8 times the length of a side. So, 8x = 48. Divide both sides by 8 to get x = <<48/8=6>>6. The length of each side is 6 cm.


        

            Expected answer:
            6
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A polygon has eight sides with lengths: 28m, 37m, 51m, 84m, 54m, 31m, 94m, and 12m. If the total perimeter of the polygon is 399m, what is the length of the remaining unknown side?
        

        

            InternLM-Math Base 7B:
        

        

        

            Expected answer:
            8
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular nonagon has a perimeter of 342m. What is the length of one side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 342/9 = <<342/9=38>>38m
### Answer: 38

        

            Expected answer:
            38
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            In a polygon with 8 sides, 7 of the side lengths are given as follows: 7 m, 59 m, 49 m, 38 m, 53 m, 21 m, and 34 m. Given that the total perimeter of the polygon is 330 m, what is the length of the eighth side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the 7 given side lengths is 7+59+49+38+53+21+34 = 330. Therefore, the 8th side length is 0 m.
### Answer: 0


        

            Expected answer:
            69
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A decagon has side lengths of 88m, 96m, 74m, 52m, 45m, 74m, 85m, 85m, and 43m. What is the length of the tenth side if the total perimeter of the decagon is 682m?
        

        

            InternLM-Math Base 7B:
        

        
|


        

            Expected answer:
            40
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular septagon (7-sided polygon) has a constant perimeter of 161m. If all sides are equal, what is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 161/7 = <<161/7=23>>23m
### Answer: 23


        

            Expected answer:
            23
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a perimeter of 324m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side of the hexagon is 324/6 = <<324/6=54>>54m.
### Answer: 54


        

            Expected answer:
            54
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular pentagon's perimeter is 385 meters. What is the length of one side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 385/5 = <<385/5=77>>77
The length of one side of the regular pentagon is 77 meters.


        

            Expected answer:
            77
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular septagon (7-sided polygon) has a perimeter of 245m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 7*<<7*35/7=35>>35m
### Answer: 35


        

            Expected answer:
            35
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular pentagon has a perimeter of 25cm. What is the length of one of its sides?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of one of the sides of the regular pentagon is 25/5 = <<25/5=5>>5cm.
### Answer: 5


        

            Expected answer:
            5
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has five of its sides measuring 9m, 49m, 100m, 73m, and 84m respectively. If the total perimeter of the hexagon is 380m, find the length of the sixth side.
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the first 5 sides of the hexagon is 380 – 9 – 49 – 100 – 73 – 84 = 16m. The sixth side is 16m.
### Answer: 16m


        

            Expected answer:
            65
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            An irregular polygon has seven sides with lengths of 23m, 67m, 57m, 94m, 93m, 18m and 30m respectively. If the total perimeter of the polygon is 419m, what is the length of the missing side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the lengths of the six known sides of the polygon is 23m+67m+57m+94m+93m+18m= <<23+67+57+94+93+18=319>>319m. The sum of the seven side lengths of the polygon is 419m. The length of the missing side is 419m-319m= <<419-319=100>>100m.
### Answer: 100


        

            Expected answer:
            37
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 287/7 = <<287/7=41>>41m
### Answer: 41


        

            Expected answer:
            41
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular pentagon has a perimeter of 55m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 5*11= <<5*11=55>>55m.

        

            Expected answer:
            11
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular nonagon, which is a nine-sided polygon, has equal side lengths. If the entire perimeter of the nonagon is 657 meters, how long is each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 657/9 = <<657/9=73.0>>73.0 meters.

        

            Expected answer:
            73
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular hexagon has a perimeter of 78m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The length of each side of the hexagon is 78/6 = <<78/6=13>>13m.
### Answer: 13


        

            Expected answer:
            13
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular octagon has a total perimeter of 600 meters. What is the length of one of its sides?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 600/8 = <<600/8=75>>75
The length of one of the sides of the regular octagon is 75 meters.


        

            Expected answer:
            75
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A polygon has side lengths of 39m, 26m, 47m, 52m, 66m, 17m, and 34m. If the overall perimeter of the polygon is 356m, what is the length of the last side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the 6 side lengths is 356m. The last side length is 66m.

        

            Expected answer:
            75
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular decagon has a perimeter of 930 cm. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The perimeter of a decagon is 9 times the length of one side. 9x = 930. 9x/9 = 9/9 x = 930/9 = 102. 9x = 9x. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/9. 9x/9 = 9x/

        

            Expected answer:
            93
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A decagon has eight of its sides measuring 24m, 25m, 75m, 38m, 18m, 42m and 61m. If the total perimeter of the decagon is 359m, can you find the length of one of the unknown sides?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the eight known side lengths is 24m+25m+75m+38m+18m+42m+61m = 329m. The total perimeter of the decagon is 359m. Therefore, the length of the last side is 359m-329m = <<359m-329m=30>>30m.
### Answer: 30

        

            Expected answer:
            76
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A nonagon has side lengths of 52m, 52m, 44m, 53m, 41m, 91m, 25m, and 2m and the total perimeter of the nonagon is 368m. What is the length of the final side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the side lengths of a nonagon is 368m. The sum of the side lengths of the nonagon is 2m + 2m + 2m + 2m + 2m + 2m + 2m + 2m + 2m = <<2m*9=18m>>18m. 368m - 18m = <<368m-18m=350m>>350m. 350m/2 = <<350m/2=175m>>175m. 175m + 2m = <<175m+2m=177m>>177m.

        

            Expected answer:
            8
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular octagon has a perimeter of 592cm. What is the length of one side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: 8x = 592
x = <<8x=592/8=74>>74
### Answer: 74


        

            Expected answer:
            74
        

        

            Correct?
            Yes
        

    

    

        🔗 Problem

        

            Problem:
            A regular heptagon has a perimeter of 245m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The perimeter of a heptagon is 7 times the length of a side. 7*<<7*>>245 = <<7*245=1715>>1715m. The length of each side is 1715/7 = <<1715/7=245>>245m.


        

            Expected answer:
            35
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A regular decagon has a perimeter of 140m. What is the length of each side?
        

        

            InternLM-Math Base 7B:
        

        

        

            Expected answer:
            14
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A polygon has side lengths of 44cm, 5cm, 96cm, 78cm, 49cm, 84cm, 72cm, 74cm, 21cm, and 39cm. If the total perimeter of the polygon is 655cm. What is the length of its 11th side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The 11th side of the polygon is 655-<44+5+96+78+49+84+72+74+21+39=655>655 = 0cm.
### Answer: 0


        

            Expected answer:
            93
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A polygon has sides that measure 69m, 81m, 34m, 35m, and 38m respectively. If the polygon's total perimeter is 265m, what is the length of the remaining side?
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the 5 sides of the polygon is 265m. The sum of the 5 given sides is 69m+81m+34m+35m+38m = 265m. The 5th side is 0m.
### Answer: 0


        

            Expected answer:
            8
        

        

            Correct?
            No
        

    

    

        🔗 Problem

        

            Problem:
            A pentagon has four of its side lengths as 22m, 14m, 93m, and 75m respectively. If its total perimeter is 234m, find the length of the fifth side.
        

        

            InternLM-Math Base 7B:
        

        
 Reasoning: The sum of the side lengths of a pentagon is 22m+14m+93m+75m+<<5th side>>m = 234m.

        

            Expected answer:
            30
        

        

            Correct?
            No