SOLUTION: A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width.

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Question 775984: A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width.

Answer by tanjo3(60) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the width of the rectangle. Then its length is given by (n + 12).

Thus, we can write for the perimeter.
68 = 2n + 2(n + 12)

Solve for n.
68 = 2n + 2(n + 12)
68 = 2n + 2n + 24
68 = 4n + 24
4n = 44
n = 11

Therefore, the rectangle has the dimensions 11 × 23.