A rectangular rug has a perimeter of 220 feet. The width of the rug is two feet less than the length. Find the length and the width.

The length is 56 and the width is 54.

Step-by-step explanation:

The perimeter of a rectangle is 2x+2y (width and length on both sides). so 2x+2y=220. Also x=y-2, because the width is 2 feet less than the length. Fill x=y-2 in 2x+2y=220 and we get 2 (y-2) + 2y=220. 2y-4+2y=220. 4y=216. y=54. Fill in y=54 in 2x+2y=220 and we get 2x+2 (54) = 220. 2x=220-2 (54) = 112. x=56.