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Question

each side of an equilateral triangle is increased by 1.5%.find the percentage increased in its area

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Solution

Let the side of equilateral triangle be aso, area of equilateral triangle = 34a2If side is increased by 1.5%New side = a + 1.5% of a = a + 1.5100a = a + .015a= 1.015aNew area of equilateral traingle = 34(1.015a)2 = 34(1.015a)2=341.030225a2Change in Area = 341.030225a2-34a2 = 340.030225a2Percentage change in area =Change in area old area×100%change in area = 340.030225a234a2×100 = 0.030225×100 = 3.0225%

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