Bunuel wrote:

If the length and width of a rectangular garden plot were each increased by 20 percent, what would the percent increase in the area of the plot?

(A) 20%

(B) 24%

(C) 36%

(D) 40%

(E) 44%

If we let L = the original length and W = the original width, then the original area of the rectangle is LW.

The new area is 1.2L x 1.2W = 1.44LW.

Thus, we see that there is a 44% increase in the area.

Alternate Solution:

We can let the original length = 10 and the original width = 10. We see that the increased length will be 12 and the increased width will be 12.

The original area is length x width = 10 x 10 = 100. The new area is 12 x 12 = 144.

We find the percentage increase in the area by using the formula (new – old)/old x 100, and we obtain:

(144 – 100)/100 x 100 = 44/100 x 100 = 44%.

Answer: E

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Jeffery Miller

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