SOLUTION: What would the perimeter of a 12 sided polygon be if the perimeter is the same as the area?? Thank-you:)

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Question 301226: What would the perimeter of a 12 sided polygon be if the perimeter is the same as the area??
Thank-you:)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What would the perimeter of a 12 sided polygon be if the perimeter is the same as the area??
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n sides, side length s
P = 12s
Area+=+ns%5E2%2Acot%28180%2Fn%29%2F4
Area+=+12s%5E2%2Acot%2815%29%2F4+=+12s
s*cot(15)/4 = 1
s = 4tan(15)
P = 12s = 48tan(15)
s =~ 12.86156