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If the sides of a rectangle are increased by 15%

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antoxavier
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If the sides of a rectangle are increased by 15% [#permalink] New post   20 Feb 2013, 22:37
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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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A
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Re: If the sides of a rectangle are increased by 15% [#permalink] New post   21 Feb 2013, 00:52
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, 03:44
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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] New post   23 Jun 2019, 19:34
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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%


We can let each side of the rectangle = 100, so the area is 10,000.

With a 15 percent increase the new area is 115 x 115 = 13,225.

Thus, the percent increase is:

(13,225 - 10000)/10000 x 100% = 3225/10000 x 100 = 32.25%

Answer: A
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Re: If the sides of a rectangle are increased by 15% [#permalink] New post   24 Jun 2019, 09:13
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%


\(15 + 15 + \frac{15*15}{100}= 32.25\) , Answer must be (A)
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Re: If the sides of a rectangle are increased by 15% [#permalink] New post   29 Jan 2020, 00:31
Bunuel wrote:
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.


Can we consider square when its written rectangle?
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Re: If the sides of a rectangle are increased by 15% [#permalink] New post   29 Jan 2020, 00:41
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Farina wrote:
Bunuel wrote:
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.


Can we consider square when its written rectangle?


Yes, because all squares are also rectangles.
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Re: If the sides of a rectangle are increased by 15% [#permalink]
29 Jan 2020, 00:41
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