Question

What is the perimeter of an equilateral triangle pose area is 4 square root 3

Answer 1

$\bf \textit{Area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}\qquad \begin{cases} s=\textit{length of one side}\\ ----------\\ A=4\sqrt{3} \end{cases} \implies 4\sqrt{3}=\cfrac{s^2\sqrt{3}}{4} \\\\\\ \cfrac{4\cdot 4\sqrt{3}}{\sqrt{3}}=s^2\implies \sqrt{\cfrac{4\cdot 4\sqrt{3}}{\sqrt{3}}}=s \\\\ -----------------------------\\\\ perimeter=s+s+s=3s\impliedby \textit{since all sides are equal}$

Answer 2

P≈9.12
area 4                                               

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