The area of an equilateral triangle is $10.24\sqrt{3}\,  m^2$. Its perimeter (in m) is :

19.2

We know that,

Area of equilateral triangle = \(\frac{\sqrt {3}}{4}\) × (side)²

Perimeter of equilateral triangle = 3 × side

The area of an equilateral triangle is 10.24\(\sqrt {3}\) m²

ATQ,

 \(\frac{\sqrt {3}}{4}\) × (side)² = 10.24\(\sqrt {3}\)

= (side)² = 10.24 × 4

= side = 3.2 × 2 = 6.4

Perimeter of equilateral triangle = 3 × side = 3× 6.4 = 19.2 cm