If the sides of a rectangle are increased by 15%

Question

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%

Vips0000 · Answer

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.

Bunuel · Answer

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.

ScottTargetTestPrep · Answer

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

Abhishek009 · Answer

15 + 15 + \frac{15*15}{100}= 32.25  , Answer must be (A)

Farina · Answer

Can we consider square when its written rectangle?

Bunuel · Answer

Yes, because all squares are also rectangles.

Prep Toolkit