Question 301226
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^2*cot(180/n)/4}}}
{{{Area = 12s^2*cot(15)/4 = 12s}}}
s*cot(15)/4 = 1
s = 4tan(15)
P = 12s = 48tan(15)
s =~ 12.86156