The perimeter of an equilateral triangle is 36 cm. What is the area of this triangle?

$96 \sqrt{3}$ cm2 $36 \sqrt{3}$ cm2 $24 \sqrt{3}$ cm2 $27 \sqrt{3}$ cm2

$36 \sqrt{3}$ cm2

Given that, The perimeter of a equilateral triangle = 36 and we know the perimeter = 3(side) = 3(side) = 36 = side = 12 So the area of a equilateral triangle = \(\frac{\sqrt {3}}{4}\) × (side)2   = \(\frac{\sqrt {3}}{4}\) × (12)2   = $36 \sqrt{3}$ cm2