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?

LLemma 34B:

 Reasoning: The remaining measurement is 368 - (41 + 28 + 90 + 32 + 10 + 98) = <<368-(41+28+90+32+10+98)=10>>10 miles.
### Answer: 10

Expected answer: 69

Correct? No

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?

LLemma 34B:

 Reasoning: The total perimeter of the pentagon is 70+36+53+45+x = 300.
70+36+53+45+x = 300
194+x = 300
x = 300-194
x = <<300-194=106>>106
### Answer: 106

Expected answer: 96

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of the nonagon is 14+94+3+20+57+83+96+85+x = 521.
14+94+3+20+57+83+96+85+x = 521
292+x = 521
x = 521-292 = <<521-292=229>>229
### Answer: 229

Expected answer: 69

Correct? No

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?

LLemma 34B:

 Reasoning: The total perimeter of the polygon is 54+51+5+22+93 = <<54+51+5+22+93=225>>225cm.
The length of the sixth side is 274-225 = <<274-225=49>>49cm.
### Answer: 49

Expected answer: 49

Correct? Yes

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

LLemma 34B:

 Reasoning: A regular pentagon has 5 sides.
The perimeter of a regular pentagon is 5 times the length of each side.
310/5 = <<310/5=62>>62 m
### Answer: 62 m

Expected answer: 62

Correct? Yes

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?

LLemma 34B:

 Reasoning: The total perimeter of the shape is 78+93+21+4+21 = <<78+93+21+4+21=216>>216cm.
The length of the last side is 315-216 = <<315-216=99>>99cm.
### Answer: 99

Expected answer: 98

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of all its sides.
The perimeter of a regular octagon is 8 times the length of one side.
160m = 8*x
x = <<160/8=20>>20m
### Answer: 20m

Expected answer: 20

Correct? Yes

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?

LLemma 34B:

 Reasoning: The perimeter of the octagon is 6+4+95+34+19+14+26+x = 224.
224 = 224.
x = 0.
### Answer: 0

Expected answer: 26

Correct? No

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

LLemma 34B:

 Reasoning: A regular hexagon has 6 sides.
174/6 = <<174/6=29>>29 meters is the length of one side.
### Answer: 29

Expected answer: 29

Correct? Yes

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?

LLemma 34B:

 Reasoning: The length of the 11th side is 538-65-22-32-31-78-88-7-29-36-54 = <<538-65-22-32-31-78-88-7-29-36-54=10>>10cm.
### Answer: 10cm

Expected answer: 96

Correct? No

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?

LLemma 34B:

 Reasoning: The sum of the lengths of the first five sides is 61+84+80+11+71 = <<61+84+80+11+71=307>>307 cm.
The length of the last side should be 357-307 = <<357-307=50>>50 cm.
### Answer: 50

Expected answer: 50

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular octagon is 8 times the length of one side.
544/8 = <<544/8=68>>68
### Answer: 68

Expected answer: 68

Correct? Yes

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

LLemma 34B:

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

Expected answer: 96

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of one side.
The length of one side is 203/7 = <<203/7=29>>29m.
### Answer: 29

Expected answer: 29

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of each side.
49 = 7*<<49/7=7>>7
### Answer: 7

Expected answer: 7

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of each side.
329 = 7*<<329/7=47.285714285714285714285714285714>>47.285714285714285714285714285714
### Answer: 47.285714285714285714285714285714

Expected answer: 47

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of the heptagon is 86+80+47+93+99+x = 486.
86+80+47+93+99+x = 486
x = 486-86-80-47-93-99
x = <<486-86-80-47-93-99=10>>10
### Answer: 10

Expected answer: 81

Correct? No

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

LLemma 34B:

 Reasoning: A regular heptagon has 7 sides.
The perimeter of a regular heptagon is 7 times the length of each side.
546/7 = <<546/7=78.14285714285714>>78.14285714285714
### Answer: 78.14285714285714

Expected answer: 78

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of the nonagon is 26+45+75+68+63+80+100+x = 532.
26+45+75+68+63+80+100+x = 532
x = 532-26-45-75-68-63-80-100 = <<532-26-45-75-68-63-80-100=10>>10
### Answer: 10

Expected answer: 75

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of the shape is 62+76+98+74+x+54+4+24+48 = 452.
62+76+98+74+x+54+4+24+48 = 452
x = 452 - (62+76+98+74+54+4+24+48)
x = 452 - 420
x = 32
### Answer: 32

Expected answer: 12

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
78/6 = <<78/6=13>>13
### Answer: 13

Expected answer: 13

Correct? Yes

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

LLemma 34B:

 Reasoning: A nonagon has 9 sides.
171/9 = <<171/9=19>>19
### Answer: 19

Expected answer: 19

Correct? Yes

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?

LLemma 34B:

 Reasoning: The perimeter of a nonagon is the sum of the lengths of all of its sides.
The perimeter of the nonagon is 8+17+30+17+86+55+68+x = <<8+17+30+17+86+55+68+x=318>>318.
x = <<318-8-17-30-17-86-55-68=318-318=0>>0.
### Answer: 0

Expected answer: 37

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular polygon is the product of the number of sides and the length of each side.
The length of each side is 858/11 = <<858/11=78>>78m.
### Answer: 78

Expected answer: 78

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular decagon is 10 times the length of each side.
The length of each side is 360/10 = <<360/10=36>>36m.
### Answer: 36

Expected answer: 36

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
522/6 = <<522/6=87>>87
### Answer: 87

Expected answer: 87

Correct? Yes

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.

LLemma 34B:

 Reasoning: The perimeter of a regular polygon is the sum of the lengths of all its sides.
The perimeter of a regular polygon with 11 sides is 418/11 = <<418/11=38>>38m.
### Answer: 38

Expected answer: 38

Correct? Yes

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?

LLemma 34B:

 Reasoning: The total perimeter of the polygon is 56+73+39+24+26 = <<56+73+39+24+26=218>>218m.
The length of the sixth side is 278-218 = <<278-218=60>>60m.
### Answer: 60

Expected answer: 60

Correct? Yes

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

LLemma 34B:

 Reasoning: A regular pentagon has 5 sides.
385/5 = <<385/5=77>>77 cm
### Answer: 77

Expected answer: 77

Correct? Yes

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?

LLemma 34B:

 Reasoning: The perimeter of the polygon is 663m.
The perimeter of the polygon is 97m+93m+35m+1m+27m+86m+68m+96m+45m+61m+x = <<97+93+35+1+27+86+68+96+45+61+x=663>>663m.
x = <<663-(97+93+35+1+27+86+68+96+45+61)=663-600=63>>63m.
### Answer: 63m

Expected answer: 54

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of a decagon is the sum of the lengths of all sides.
The perimeter of the decagon is 575m.
The perimeter of the decagon is 54+49+85+48+85+19+94+44+54+x = <<54+49+85+48+85+19+94+44+54+x=575>>575m.
x = <<575-(54+49+85+48+85+19+94+44+54)=0>>0m.
### Answer: 0

Expected answer: 43

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular octagon is 8 times the length of each side.
248/8 = <<248/8=31>>31
### Answer: 31

Expected answer: 31

Correct? Yes

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

LLemma 34B:

 Reasoning: A regular pentagon has 5 sides.
The perimeter of a regular pentagon is 5 times the length of each side.
390/5 = <<390/5=78>>78
### Answer: 78

Expected answer: 78

Correct? Yes

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.

LLemma 34B:

 Reasoning: The total perimeter is 6+85+83+73+25+66+54+87+21 = <<6+85+83+73+25+66+54+87+21=522>>522m.
The length of the tenth side is 0m.
### Answer: 0

Expected answer: 22

Correct? No

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

LLemma 34B:

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

Expected answer: 51

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of the octagon is 696m.
The perimeter of the octagon is 696/8 = <<696/8=87.0>>87.0m.
### Answer: 87.0

Expected answer: 87

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of an octagon is 8 times the length of one side.
744/8 = <<744/8=93.0>>93.0
### Answer: 93.0

Expected answer: 93

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular nonagon is 9 times the length of one side.
The length of one side is 270/9 = <<270/9=30>>30m.
### Answer: 30

Expected answer: 30

Correct? Yes

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?

LLemma 34B:

 Reasoning: The total perimeter of the nonagon is 350cm.
30cm+18cm+68cm+23cm+72cm+57cm+33cm+19cm+x = 350cm
30+18+68+23+72+57+33+19+x = 350
309+x = 350
309+x-309 = 350-309
x = 41
### Answer: 41

Expected answer: 30

Correct? No

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?

LLemma 34B:

 Reasoning: The total perimeter of the nonagon is 188m.
19m+7m+10m+16m+32m+15m+70m+x = 188m
105m+x = 188m
x = 188m-105m
x = <<188-105=83>>83m
### Answer: 83m

Expected answer: 19

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
90/6 = <<90/6=15>>15
### Answer: 15

Expected answer: 15

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of each side.
The length of each side is 287/7 = <<287/7=41>>41m.
### Answer: 41

Expected answer: 41

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular pentagon is 5s, where s is the length of each side.
50 = 5s
<<50/5=10>>10 = s
### Answer: 10

Expected answer: 10

Correct? Yes

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

LLemma 34B:

 Reasoning: A nonagon has 9 sides.
63/9 = <<63/9=7>>7
### Answer: 7

Expected answer: 7

Correct? Yes

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

LLemma 34B:

 Reasoning: A regular hexagon has 6 sides.
The perimeter of a regular hexagon is 6 times the length of one side.
354/6 = <<354/6=59>>59
### Answer: 59

Expected answer: 59

Correct? Yes

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?

LLemma 34B:

 Reasoning: The total perimeter of the polygon is 59+16+15+35+89+16+43+7 = <<59+16+15+35+89+16+43+7=286>>286m.
The length of the last unknown side is 286-286 = <<286-286=0>>0m.
### Answer: 0

Expected answer: 6

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of each side.
616/7 = <<616/7=88>>88
### Answer: 88

Expected answer: 88

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
36/6 = <<36/6=6>>6
### Answer: 6

Expected answer: 6

Correct? Yes

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?

LLemma 34B:

 Reasoning: The total perimeter of the dodecagon is 88+24+83+64+16+14+90+36+47+x = 492.
88+24+83+64+16+14+90+36+47+x = 492
492 = 492
### Answer: 0

Expected answer: 30

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
306/6 = <<306/6=51>>51
### Answer: 51

Expected answer: 51

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of each side.
The length of each side is 238/7 = <<238/7=34>>34 meters.
### Answer: 34

Expected answer: 34

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
42/6 = <<42/6=7>>7
### Answer: 7

Expected answer: 7

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular octagon is 8 times the length of one side.
The length of each side of the octagon is 624/8 = <<624/8=78>>78m.
### Answer: 78m

Expected answer: 78

Correct? Yes

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?

LLemma 34B:

 Reasoning: The perimeter of the polygon is 17+13+61+16+11+83+28+48+93 = <<17+13+61+16+11+83+28+48+93=396>>396 meters.
The length of the tenth side is 468-396 = <<468-396=72>>72 meters.
### Answer: 72

Expected answer: 98

Correct? No

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

LLemma 34B:

 Reasoning: A regular pentagon has 5 sides.
The perimeter of a regular pentagon is 5 times the length of each side.
380/5 = <<380/5=76>>76
### Answer: 76

Expected answer: 76

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular octagon is 8 times the length of one of its sides.
The length of one of its sides is 104/8 = <<104/8=13>>13cm.
### Answer: 13cm

Expected answer: 13

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of each side.
The length of each side is 637/7 = <<637/7=91>>91m.
### Answer: 91

Expected answer: 91

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular pentagon is 5 times the length of each side.
35/5 = <<35/5=7>>7
### Answer: 7

Expected answer: 7

Correct? Yes

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?

LLemma 34B:

 Reasoning: The perimeter of a pentagon is 223cm. The lengths of four of its sides are 45cm, 93cm, 36cm, and 22cm respectively.
The length of the fifth side is 223-45-93-36-22 = <<223-45-93-36-22=17>>17cm.
### Answer: 17cm

Expected answer: 27

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of the polygon is 75+81+22+94+91+10 = <<75+81+22+94+91+10=423>>423cm.
The length of the last unknown side is 423-423 = <<423-423=0>>0cm.
### Answer: 0

Expected answer: 50

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular decagon is 10 times the length of each side.
The length of each side is 600/10 = <<600/10=60>>60m.
### Answer: 60

Expected answer: 60

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular octagon is 8 times the length of each of its sides.
The length of each of its sides is 632/8 = <<632/8=79>>79m.
### Answer: 79

Expected answer: 79

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular septagon is 7 times the length of each side.
161m = 7*<<161/7=23>>23m
### Answer: 23m

Expected answer: 23

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
96/6 = <<96/6=16>>16
### Answer: 16

Expected answer: 16

Correct? Yes

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.

LLemma 34B:

 Reasoning: The perimeter of the nonagon is 50+31+24+28+13+97+63+88+x = 402.
50+31+24+28+13+97+63+88+x = 402
x = 402-50-31-24-28-13-97-63-88 = <<402-50-31-24-28-13-97-63-88=1>>1
### Answer: 1

Expected answer: 8

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of each side.
385/7 = <<385/7=55>>55
### Answer: 55

Expected answer: 55

Correct? Yes

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?

LLemma 34B:

 Reasoning: The total perimeter of the polygon is 89+2+10+48+94+59 = <<89+2+10+48+94+59=292>>292 meters.
The length of the remaining side is 358-292 = <<358-292=66>>66 meters.
### Answer: 66

Expected answer: 56

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of an octagon is 8 times the length of one side.
The length of each side is 496/8 = <<496/8=62>>62m.
### Answer: 62

Expected answer: 62

Correct? Yes

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

LLemma 34B:

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

Expected answer: 100

Correct? Yes

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?

LLemma 34B:

 Reasoning: The perimeter of a nonagon is 9 times the length of one side.
702/9 = <<702/9=78>>78 m
### Answer: 78 m

Expected answer: 78

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular nonagon is 9 times the length of one side.
The length of one side is 855/9 = <<855/9=95>>95cm.
### Answer: 95

Expected answer: 95

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of its side.
The length of the side of the heptagon is 504/7 = <<504/7=73.42857142857143>>73.42857142857143 meters.
### Answer: 73.42857142857143

Expected answer: 72

Correct? No

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

LLemma 34B:

 Reasoning: A nonagon has 9 sides.
657/9 = <<657/9=73>>73
### Answer: 73

Expected answer: 73

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular octagon is 8 times the length of each side.
48/8 = <<48/8=6>>6 cm
### Answer: 6 cm

Expected answer: 6

Correct? Yes

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?

LLemma 34B:

 Reasoning: The total perimeter of the polygon is 28+37+51+84+54+31+94+12 = <<28+37+51+84+54+31+94+12=399>>399m.
The length of the remaining unknown side is 0m.
### Answer: 0

Expected answer: 8

Correct? No

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

LLemma 34B:

 Reasoning: A nonagon has 9 sides.
342/9 = <<342/9=38>>38
### Answer: 38

Expected answer: 38

Correct? Yes

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?

LLemma 34B:

 Reasoning: The perimeter of the polygon is 7+59+49+38+53+21+34+x = 330.
7+59+49+38+53+21+34+x = 330
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+38+53+21+34+x=330>>
<<7+59+49+

Expected answer: 69

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of the decagon is 88+96+74+52+45+74+85+85+43+x = 682.
88+96+74+52+45+74+85+85+43+x = 682
x = 682-88-96-74-52-45-74-85-85-43 = <<682-88-96-74-52-45-74-85-85-43=100>>100
### Answer: 100

Expected answer: 40

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of a regular septagon is 7*length of each side.
161m = 7*length of each side
length of each side = <<161/7=23>>23m
### Answer: 23m

Expected answer: 23

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
324/6 = <<324/6=54>>54
### Answer: 54

Expected answer: 54

Correct? Yes

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

LLemma 34B:

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

Expected answer: 77

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular septagon is 7 times the length of each side.
The length of each side is 245/7 = <<245/7=35>>35m.
### Answer: 35

Expected answer: 35

Correct? Yes

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

LLemma 34B:

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

Expected answer: 5

Correct? Yes

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.

LLemma 34B:

 Reasoning: The perimeter of the hexagon is 9+49+100+73+84+x = 380.
9+49+100+73+84+x = 380
x = 380-215 = <<380-215=165>>165
### Answer: 165

Expected answer: 65

Correct? No

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?

LLemma 34B:

 Reasoning: The total perimeter of the polygon is 23+67+57+94+93+18+30 = <<23+67+57+94+93+18+30=419>>419m.
The length of the missing side is 0m.
### Answer: 0

Expected answer: 37

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular heptagon is 7 times the length of each side.
The length of each side is 287/7 = <<287/7=41>>41m.
### Answer: 41

Expected answer: 41

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular pentagon is 5s, where s is the length of each side.
55 = 5s
<<55/5=11>>11 = s
### Answer: 11

Expected answer: 11

Correct? Yes

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?

LLemma 34B:

 Reasoning: The perimeter of a nonagon is 9 times the length of one side.
657/9 = <<657/9=73>>73 meters is the length of each side.
### Answer: 73

Expected answer: 73

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular hexagon is 6 times the length of one side.
78/6 = <<78/6=13>>13
### Answer: 13

Expected answer: 13

Correct? Yes

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

LLemma 34B:

 Reasoning: The perimeter of a regular octagon is 8 times the length of one of its sides.
The length of one of its sides is 600/8 = <<600/8=75>>75 meters.
### Answer: 75

Expected answer: 75

Correct? Yes

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?

LLemma 34B:

 Reasoning: The perimeter of the polygon is 39+26+47+52+66+17+34 = <<39+26+47+52+66+17+34=276>>276m.
The length of the last side is 356-276 = <<356-276=80>>80m.
### Answer: 80

Expected answer: 75

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular decagon is 10 times the length of each side.
The length of each side is 930/10 = <<930/10=93>>93 cm.
### Answer: 93

Expected answer: 93

Correct? Yes

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?

LLemma 34B:

 Reasoning: The total perimeter of the decagon is 24+25+75+38+18+42+61+x = 359.
24+25+75+38+18+42+61+x = 359
248+x = 359
x = 359-248 = <<359-248=111>>111
### Answer: 111

Expected answer: 76

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of a nonagon is the sum of the lengths of its sides.
The perimeter of the nonagon is 52+52+44+53+41+91+25+2 = <<52+52+44+53+41+91+25+2=368>>368m.
The length of the final side is 2m.
### Answer: 2m

Expected answer: 8

Correct? No

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

LLemma 34B:

 Reasoning: The perimeter of a regular octagon is 8 times the length of one side.
592/8 = <<592/8=74>>74
### Answer: 74

Expected answer: 74

Correct? Yes

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

LLemma 34B:

 Reasoning: A regular heptagon has 7 sides.
The perimeter of a regular heptagon is 7 times the length of each side.
245/7 = <<245/7=35>>35
### Answer: 35

Expected answer: 35

Correct? Yes

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

LLemma 34B:

 Reasoning: A decagon has 10 sides.
140/10 = <<140/10=14>>14
### Answer: 14

Expected answer: 14

Correct? Yes

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?

LLemma 34B:

 Reasoning: The total perimeter of the polygon is 44+5+96+78+49+84+72+74+21+39 = <<44+5+96+78+49+84+72+74+21+39=500>>500cm.
The length of the 11th side is 655-500 = <<655-500=155>>155cm.
### Answer: 155

Expected answer: 93

Correct? No

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?

LLemma 34B:

 Reasoning: The perimeter of the polygon is 69+81+34+35+38 = <<69+81+34+35+38=265>>265m.
The length of the remaining side is 265-265 = <<265-265=0>>0m.
### Answer: 0

Expected answer: 8

Correct? No

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.

LLemma 34B:

 Reasoning: The perimeter of a pentagon is the sum of the lengths of its sides.
The perimeter of the pentagon is 22m+14m+93m+75m+x = <<22+14+93+75+x=234>>234m.
The length of the fifth side is 234m-22m-14m-93m-75m = <<234-22-14-93-75=12>>12m.
### Answer: 12m

Expected answer: 30

Correct? No