the area of a rectangular rug is 49x^2-25y^2 in. Use factoring to find possible dimensions of the rug. How are the side lengths related? what value would you need to subtract from the longer side and add to the shorter side for the rug to be a square.
The possible dimensions of the rug are 7x-5y and 7x+5y. The side lengths are related by the fact that the longer side is 7x+5y and the shorter side is 7x-5y. To make the rug a square, you would need to subtract 5y from the longer side and add 5y to the shorter side.
