Question

The area of an equilateral triangle is `4sqrt3` cm, its perimeter is ______.

Options

• 16 cm

• 4 cm

• 12 cm

• 8 cm

Answer 1

The area of an equilateral triangle is `4sqrt3` cm, its perimeter is 12 cm.

Explanation:

The area of an equilateral triangle is given by \[\frac{\sqrt{3}}{4} a^2 = 4\sqrt{3}\text{ cm}^2\], which gives side a = 4 cm. The perimeter is 3a = 3 × 4 = 12 cm.