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

Correct Answer: 44%

Explanation:

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



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