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The perimeter of an equilateral triangle is 90 cm. Find its area.

225√3 sq cm
250√3 sq cm
135√3 sq cm
151√3 sq cm

Correct Answer: 225√3 sq cm

Explanation:

Given that, perimeter = 90 cm
⇒ 3a = 90 cm [a = side]
∴ a = 90/3 = 30 cm
∴ Area = √3a² / 4 = √3/4 x (30)²
= 900 x √3/4 = 225√3 sq cm

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