The length of a rectangle is 7 inches more than its width. If the perimeter of the rectangle is 66 inches, find the dimensions.

13 by 20 inches

Step-by-step explanation:

Represent the quantities as follows:

P = 2W + 2L

L = W + 7

Then P = 2W + 2 (W + 7), or P = 4W + 14

and this formula has the value 66 inches.

Thus, P = 66 inches = 4W + 14 inches, or

52 inches = 4W

Dividing both sides by 4, we get W = 13 inches.

The width is 13 inches and the length is (13 + 7) inches, or 20 inches.