Cynthia Besch wants to buy a rug for a room that is 24 ft wide and 32 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 560 square feet of carpeting. What dimensions should the rug​ have?

Step-by-step explanation:

From the question we are told that

Width

Length

She can afford to buy 560 square feet of carpeting

Let

Generally the Dimension of the rug is mathematically given as

Width of Rug

Length of Rug

Generally the width of strip S is mathematically given by

Therefore the width is

Generally the dimension of the rug D is mathematically given as

Width of Rug

Length of Rug

Therefore dimension of Rug is given by