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antoxavier
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antoxavier
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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antoxavier
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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Bunuel
antoxavier
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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Bunuel
antoxavier
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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