If the area of an equilateral triangle is $36 \sqrt{3}$ cm2, then the perimeter of the triangle is:

$36 \sqrt{3}$ cm 36 cm $18 \sqrt{3}$ cm 12 cm

36 cm

The area of an equilateral triangle = $36 \sqrt{3}$ cm2 We know that, Area of a equilateral triangle = \(\frac{\sqrt {3}}{4}\) × (side)2 $36 \sqrt{3}$ = \(\frac{\sqrt {3}}{4}\) × (side)2 (side)2 = 144 side = 12 Then the perimeter = 12 × 3 = 36 cm