The length of a sandbox is 8 feet more than its width. The area is 20 square feet. Find the length and width of the sandbox. Solve algbraically

Let the width be x.

width = x

length = x + 8

The area is 20 ft²

x (x + 8) = 20

x² + 8x = 20

x² + 8x - 20 = 0

(x + 10) (x - 2) = 0

x = - 10 (rejected) or x = 2

Width = x = 2 ft

Length = x + 8 = 2 + 8 = 10 ft

Answer: The width is 2 ft and the length is 10ft.