The area of an equilateral triangle is 16√3 sq cm. What is its perim

1.	The area of an equilateral triangle is 16√3 sq cm. What is its perimeter?1. 16 cm2. 12 cm3. 24 cm4. 32 cm
Answer» Correct Answer - Option 3 : 24 cm Given Area of equilateral triangle = 16√ 3 Perimeter of triangle = 3 × length of side of atriangle Formula used Area of equilateral triangle = (√3/4)(side)² Calculation ⇒ (√ 3/4)(side)² = 16√ 3 ⇒ (side)² = 64 ⇒ side = 8 cm ⇒ Perimeter = 3 × 8 ∴ Perimeter of triangle is 24cm

The area of an equilateral triangle is 16√3 sq cm. What is its perimeter?1. 16 cm2. 12 cm3. 24 cm4. 32 cm

Answer» Correct Answer - Option 3 : 24 cm

Given

Area of equilateral triangle = 16√ 3

Perimeter of triangle = 3 × length of side of atriangle

Formula used

Area of equilateral triangle = (√3/4)(side)²

Calculation

⇒ (√ 3/4)(side)² = 16√ 3

⇒ (side)² = 64

⇒ side = 8 cm

⇒ Perimeter = 3 × 8

∴ Perimeter of triangle is 24cm

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The area of an equilateral triangle is 16√3 sq cm. What is its perimeter?1. 16 cm2. 12 cm3. 24 cm4. 32 cm

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