Question

The length of a rectangle is 3 inches more than its width. The perimeter of the rectangle is 34 inches. The length of the rectangle is ____ inches, and its width is ____ inches.

Fill in the blanks.

Answer 1

10 inches by 7 inches

Explanation:

Let L and W represent the length and width of the rectangle, in inches. Then L = W + 3.

The perimeter is P = 2L + 2W, or P = 2(W+3) + 2W = 34 inches.

Solving for W: 2W + 6 + 2W = 34 inches, or

4W + 6 = 34 inches, or

4W = 28 inches, or W = 7 inches.

Given that L = W + 3, L = (7 inches) + 3 inches = 10 inches.

The length of the rectangle is 10 inches, and its width is 7 inches.