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If the sides of a rectangle are increased by 15%

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If the sides of a rectangle are increased by 15% [#permalink] New post 20 Feb 2013, 21:37
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If the sides of a rectangle are increased by 15%, what is the percentage increase in the area?

A. 32.25%
B. 40%
C. 37.50%
D. 36.75%
E. 32%
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Re: If the sides of a rectangle are increased by 15% [#permalink] New post 20 Feb 2013, 23:52
antoxavier wrote:
If the sides of a rectangle are increased by 15%, what is the percentage increase in the area?

A. 32.25%
B. 40%
C. 37.50%
D. 36.75%
E. 32%


If sides are a and b, after increase sides would be 1.15a and 1.15 b.
Percentage increase in area = (1.15a*1.15b - ab) *100/ab = 32.35%
ans A it is.
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Re: If the sides of a rectangle are increased by 15% [#permalink] New post 21 Feb 2013, 02:44
Expert's post
antoxavier wrote:
If the sides of a rectangle are increased by 15%, what is the percentage increase in the area?

A. 32.25%
B. 40%
C. 37.50%
D. 36.75%
E. 32%


Say both sides of the rectangle are equal to 100 (so consider that we have a square). In this case the area is 100*100=10,000.

The area of new rectangle would be 115*115=13,225, which is 32.25% greater than the old area.

Answer: A.
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Re: If the sides of a rectangle are increased by 15%   [#permalink] 21 Feb 2013, 02:44
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