The area of an equilateral triangle is 36√3 m2. Find the perimeter o

1.	The area of an equilateral triangle is 36√3 m2. Find the perimeter of triangle.1. 54 m2. 45 m3. 36 m4. 48 m
Answer» 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

The area of an equilateral triangle is 36√3 m2. Find the perimeter of triangle.1. 54 m2. 45 m3. 36 m4. 48 m

Answer» 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

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The area of an equilateral triangle is 36√3 m2. Find the perimeter of triangle.1. 54 m2. 45 m3. 36 m4. 48 m

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