Question

If the area of a rectangle is increased by 32% and its breadth increased by 20%, what is the percentage increase in its length?

Answer 1

Initial length = L
initial breadth = B
initial area = LB

Area increased by 32%

new area = LB + 32/100 × LB = LB + 0.32LB = 1.32LB

new breadth = B + 20/100 B = 1.2B

New length = new area/new breadth = 1.32LB/1.2B = 1.1L

Increase in length = 1.1L - L = 0.1L

% increase = 0.1L/L × 100 = 10%

Answer 2

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