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Bunuel

The figure shown represents a square garden. If each side is increased in length by 20 percent, by what percent is the area of the garden increased ?

A. 44%
B. 50%
C. 125%
D. 144%
E. 150%


Attachment:
#greprepclub The figure shown represents a square garden.jpg

If each side = 10, the original area is 100. If each side is increased by 20%, each new side is 12, and the area is 144.

Thus, the percent increase is (144 - 100)/100 = 44/100 = 44%.

Answer: A.
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Solution



Given
• The figure shown represents a square garden

To find
• Percentage change in area if length is increased by 20 percent

Approach and Working out
• Area of square = length ^2
• So, any percentage change in length will cause the successive change in area as length is multiplied twice.

Thus, we can apply the A-B rule.
%age change in area = A + B + AB/100= 20 + 20 + 20*20/100= 44%

Thus, option A is the correct answer.

Correct Answer: Option A
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Method -2



Side of square = a
Area of square = a^2

Increased side of square = 1.2 a
Increased area = (1.2a)^2 = 1.44a^2

Percentage change = 1.44a^2 – a^2/ a^2 = 0.44a^2 / a^2 = 44%

Thus, option A is the correct answer.

Correct Answer: Option A
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