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Area - General Aptitude

Q1:

The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

A 40%

B 42%

C 44%

D 46%

ANS:C - 44%

Let original length = x metres and original breadth = y metres. Original area = (xy) m2.

New length = 120 x m = 6 x m.
100 5
New breadth = 120 y m = 6 y m.
100 5
New Area = 6 x x 6 y m2 = 36 xy m2.
5 5 25
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 xy x 1 x 100 % = 44%.
25 xy