Bunuel wrote:

If the perimeter of a certain rectangle is 76 and its area is 360 then what is the length of its shortest side?

(A) 12

(B) 18

(C) 20

(D) 36

(E) 40

We can create the following two equations in which L = length and W = width:

2L + 2W = 76

L + W = 38

L = 38 - W

and

LW = 360

Substituting, we have:

(38 - W)W = 360

38W - W^2 = 360

W^2 - 38W + 360 = 0

(W - 20)(W - 18) = 0

W = 20 or W = 18

When W = 20, L = 18 and when W = 20, L = 18.

Thus, the shorter side is 18.

Answer: B

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Scott Woodbury-Stewart

Founder and CEO

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