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

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