The length of a rectangle is 8 inches more than its width. The perimeter is 52 inches. Determine the length of the rectangle.

First, let the rectangle's width be w. With this representation, its length becomes w + 8. The perimeter of the rectangle is calculated through the formula,

P = 2L + 2W

where L and W are length and width, respectively. Substituting the known values,

52 inches = 2 (w + 8) + 2w

The value of w from the equation is equal to 9. The length of the rectangle, w + 8 = 9 + 8 = 17. The length is 17 inches.

P = 2 (L+W)

L = 8+W

P = 52 inches

52 = 2 (L+W)

52 = 2 (8+W+W)

52 = 2 (8+2W)

52 = 16+4W

52-16 = 4W

36 = 4W

W = 9 inches

L = 8+W

L = 8+9

L = 17 inches