SOLUTION: Express the area A of an equilateral triangle as a function of the perimeter P. Please show step by step. I've been trying to figure this out for hours. Thanks in advance!

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Question 813742: Express the area A of an equilateral triangle as a function of the perimeter P.
Please show step by step. I've been trying to figure this out for hours. Thanks in advance!
Found 2 solutions by Alan3354, mananth:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Express the area A of an equilateral triangle as a function of the perimeter P.
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s = side length
Area+=+s%5E2%2Asqrt%283%29%2F4
s = P/3
Area+=+P%5E2%2Asqrt%283%29%2F36

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the side of the triangle be s
perimeter p= 3s
s=(p/3)
Area = %28sqrt%283%29%2F4%29+%2A+s%5E2
= %28sqrt%283%29%2F4%29%2A%28p%2F3%29%5E2
= %28sqrt%283%29%2F4%29%2A%28p%5E2%2F9%29
= p%5E2%2F%2812sqrt%283%29%29