Question

The area of an equilateral triangle is 36√3 m². Find the perimeter of triangle.
1. 54 m
2. 45 m
3. 36 m
4. 48 m

Answer 1

Correct Answer - Option 3 : 36 m

Given :-

Area of equilateral triangle = 36√3 m²

Concept :-

Area of an equilateral triangle = (√3/4) × Side²

Perimeter of equilateral triangle = 3 × Side 

Calculation :-

⇒ 36√3 = (√3/4) × Side²

⇒ Side² = 36 × 4

⇒ Side = √(36 × 4)

⇒ Side = 6 × 2 = 12 m

Now,

⇒ Perimeter of equilateral triangle = 3 × 12

⇒ Perimeter of equilateral triangle = 36 m

∴ Perimeter of equilateral triangle is 36 m