Since the strip around the outside of the rug will be uniform, the dimensions of the rug will have the form (18 - x) in width and (30 - x) in length, where x is equal to twice width of the strip. We can use this data to set up an equation. (18 - x) (30 - x) = 220 x^2 - 48 x + 540 = 220 x^2 - 48 x + 320 = 0 (x - 8) (x - 40) = 0 x = 8 or x = 40 Since x = 40 is too wide for the strip, the correct solution is x = 8 The width of the rug is: 18 - x = 10 feet The length of the rug is: 30 - x = 22 feet The dimensions of the rug are 10 feet x 22 feet. Note that the area is equal to 220 square feet.