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

Question

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

A. $44 %$

B. $45 %$

C. $34 %$

D. $35 %$

Correct Answer :

A. $44 %$

Let original length = x metres and original breadth = y metres
Original Area=xy m2
New Length =120100x=65x
New Breadth=120100y=65y
⇒New Area=65x * 65y
⇒New Area=3625xy
Area Difference=3625xy−xy
=1125xy
Increase%=DifferenceActual * 100
=11xy25 * 1xy * 100
=44%

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

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