If the perimeter of equilateral triangle is 36 cm, what is the area of

1.	If the perimeter of equilateral triangle is 36 cm, what is the area of given triangle? (√3 = 1.732) 1. 62 cm22. 62.352 cm23. 60.352 cm24. 50 cm2
Answer» Correct Answer - Option 2 : 62.352 cm² Given: Perimeter of equilateral triangle = 36 cm Concepts used: Perimeter of equilateral triangle = 3 × side Area of equilateral triangle = √3/4 × (side)² Calculation: Perimeter of equilateral triangle = 3 × side ⇒ 3 × side = 36 cm ⇒ Side = 36/3 cm ⇒ Side = 12 cm Area of equilateral triangle = √3/4 × (side)² ⇒ √3/4 × (12)² cm² ⇒ √3/4 × 144 cm² ⇒ (1.732 × 144)/4 cm² ⇒ 62.352 cm². ∴ The area of equilateral triangle is 62.352 cm².

If the perimeter of equilateral triangle is 36 cm, what is the area of given triangle? (√3 = 1.732) 1. 62 cm22. 62.352 cm23. 60.352 cm24. 50 cm2

Answer» Correct Answer - Option 2 : 62.352 cm²

Given:

Perimeter of equilateral triangle = 36 cm

Concepts used:

Perimeter of equilateral triangle = 3 × side

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

Calculation:

Perimeter of equilateral triangle = 3 × side

⇒ 3 × side = 36 cm

⇒ Side = 36/3 cm

⇒ Side = 12 cm

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

⇒ √3/4 × (12)² cm²

⇒ √3/4 × 144 cm²

⇒ (1.732 × 144)/4 cm²

⇒ 62.352 cm².

∴ The area of equilateral triangle is 62.352 cm².

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If the perimeter of equilateral triangle is 36 cm, what is the area of given triangle? (√3 = 1.732) 1. 62 cm22. 62.352 cm23. 60.352 cm24. 50 cm2

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