SOLUTION: what is the ratio of the perimeter of a square and equilateral triangle if areas are the same?

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Question 990493: what is the ratio of the perimeter of a square and equilateral triangle if areas are the same?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a square,
A%5Bs%5D=s%5E2
P%5Bs%5D=4s
For a equilateral triangle,
A%5Bet%5D=%28sqrt%283%29%2F4%29%29x%5E2
P%5Bet%5D=3x
So A%5Bs%5D=A%5Bet%5D
s%5E2=%28sqrt%283%29%2F4%29x%5E2
s%5E2%2Fx%5E2=sqrt%283%29%2F4
%28s%2Fx%29=sqrt%28sqrt%283%29%2F4%29
%28s%2Fx%29=3%5E%281%2F4%29%2F2
And,