Question

If each of the dimensions of a rectangle is increased by 100%, its area is increased by : (1) 100% (2) 200% (3) 300% (4) 400%

Answer 1

Let the length be x and breadth be y

Area = xy

New length = x * 200/100 = 2x

New breadth = 2y

Thus, new area = 2x * 2y = 4xy

Increment = 4xy - xy = 3xy

Increase % = 3xy/xy * 100% = 3*100% = 300%

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