Cynthia Besch wants to buy a rug for a room that is 25 ft wide and 32 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 588 square feet of carpeting. What dimensions should the rug​ have?

1 answer

(25 - x)(32 - x) = 588

x^2 - 57 x + 212 = 0

solve for x (the border width)

then find the length and width
... subtract twice the border from each room dimension