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Q. The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
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Answer: Option C
Let original length = x metres and original breadth = y metres.
Original area = (xy) m2.
New length = (120/100 x ) m = (6/5x)m.
New breadth = (120/100 y) m = (6/5 y) m.
New Area = (6/5 x x 6/5 y) m2 = (36/25) xy m2.
The difference between the original area = xy and new-area 36/25 xy is
= (36/25)xy - xy
= xy(36/25 - 1)
= xy(11/25) or (11/25)xy
Increase % = (11/25 xy * 1/xy * 100)% = 44%.