Question

If the area of an equilateral triangle is $16\sqrt{3}c{m}^2$, then the perimeter of the triangle is

• A. $48cm$
• B. $24cm$
• C. $12cm$
• D. $36cm$

Answer 1

Answer: (B)

$24cm$

Area of the triangle, $16=\frac{\sqrt{3}(\text{side}{)}^2}{4}$
$64\sqrt{3}=\sqrt{3}(\text{side}{)}^2$
$64=(\text{side}{)}^2$
$\text{side}=8cm$
$\therefore$ Perimeter $=3\left(\text{side}\right)=3\left(8\right)=24cm$