If the area of an equilateral triangle is 16√3 cm2, then the perimeter of the triangle is

Question

Philoid · Accepted Answer

Area of an equilateral triangle of side a is given by

Given that Area(Δ) = 16√3 cm²

⇒

⇒ a² = 16× 4

⇒ a² = 64

⇒ a = 8cm

Perimeter(Δ) = a + a + a = 3a = 3×8 = 24cm

Hence the correct option is (B).