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Prateek Asked :

13-01-2022 Area

Q. 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%


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Dapzoi Verified
Commented on 2022-01-15 11:36:26 (IST)
Answer: Option C

 

Explanation:

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%.