Question

The area of an equilateral triangle is $16\sqrt{3}{m}^2.$ Its perimeter (in metres) is:

• A. $12$
• B. $48$
• C. $24$
• D. $306$

Answer 1

The correct option is C $24$

Let side of equilateral $△=am$

$\therefore$Area of equilateral $△=16\sqrt{3}{m}^2$

$\Rightarrow \frac{\sqrt{3}}{4}{a}^2=16\sqrt{3}$

$\Rightarrow a^2=64$

$\Rightarrow a=8m$

$\therefore$ Perimeter of equilateral triangle$=3a$

$=3\times 8$

$=24m$