The area of a playground is . Without removing common factors, factor to possible dimensions of the playground. 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 playground to be a square?

The correct answer is: 6x+4y and 6x-4y are the dimensions of a rectangular playground . 4y needs to be subtracted from the longer side(6x+4y) and adding it to the shorter side(6x-4y) gives the playground to be a square

Ans :-  6x + 4y and 6x - 4y are the dimensions of a rectangular playground . 4y needs to be subtracted from the longer side(6x + 4y) and adding it to the shorter side(6x - 4y) gives the playground to be a square .
Given, 
Write
As 
Here 
We get
As the garden is rectangular , we can write area A =  length × breadth
The possibility is length = 6x + 4y and breadth = 6x - 4y (or) viceversa
4y needs to be subtracted from the longer side(6x + 4y) and adding it to the shorter side(6x - 4y) gives the playground to be a square