The length of the rectangle is 8 inches longer than its width. If the perimeter of the rectangle is 36 inches, what is the width, in inches

The width is 5 inches

Step-by-step explanation:

In order to find the width, start by labeling the width as x. Since we know the length is 8 inches longer, we can express the length as x + 8. Now we can plug these two into the perimeter formula and solve for x to get the width.

2l + 2w = P

2 (x + 8) + 2x = P

2x + 16 + 2x = P

4x + 16 = P

4x + 16 = 36

4x = 20

x = 5