Question

The width of a rectangle is 4 inches longer than the length. The perimeter of the rectangle is 68 inches. Write an equation for this situation and find the length of the rectangle.

Answer 1

Length = 15 inches.

Explanation:

Formula for the perimeter of a rectangle:

The formula for the perimeter of a rectangle is given by:

P = 2L + 2W, where

• P is the perimeter,
• L is the length,
• and W is the width.

Finding an equation relating length and width:

Since we're told that the width is 4 inches longer than the length, we can represent this with the following equation:

W = L + 4

Finding the length:

Since the perimeter is 68 inches, we can find the length by substituting 68 for P and L + 4 for W in the rectangle perimeter formula:

68 = 2L + 2(L + 4)

68 = 2L + 2L + 8

(68 = 4L + 8) - 8

(60 = 4L) / 4

15 = L

Thus, the length is 15 inches.