This is similar to Problem 8 from your Section 4.2 worksheet.

Claudia's living room floor is the shape of a square. She buys a square rug for her living room with sides measuring $4$ feet less than the sides of her living room. She now has $96$ square feet of uncovered floor. What are the side lengths of her living room and the rug?

The side lengths of the room are feet and the side lengths of the rug are feet.

Hint:

Hint: