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If the side of an equilateral triangle is increased to 3 times the earlier length, then by what percentage is the area increased?

If the side of an equilateral triangle is increased to 3 times the earlier length, then by what percentage is the area increased? Correct Answer 800%

Let the original length be w cm. Original area = √3 / 4 w2 New length = 3w New area = √3 / 4 (3w)2 = 9√3 / 4 w2 Difference = 9√3 / 4 w2 – √3 / 4 w2 = 8√3 / 4 w2 %increase = ((8√3 / 4 w2) / (√3 / 4 w2)) * 100 = 800%

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