The area of a rectangular rug is . 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 correct answer is: 7x+5y and 7x-5y are the dimensions of a rectangular rug . 5y need to be subtracted from longer side(7x+5y) and add it shorter side(7x-5y) gives rug to be a square

Ans :- 7x + 5y and 7x - 5y are the dimensions of a rectangular rug . 5y need to be subtracted from longer side
(7x + 5y) and add it shorter side(7x - 5y) gives rug to be a square
Given, 
Write
As 
Here a = 7x ; b = 5y
We get  
As the garden is rectangular , we can write area A =  length × breadth
The possibility is length = 7x + 5y and breadth = 7x - 5y (or) viceversa
5y needs to be subtracted from the longer side(7x + 5y) and adding it to the shorter side(7x - 5y) gives the rug to be a square .