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