In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.

The correct answer is: x-2y and x+2y are possible dimensions of the garden. No,the garden is not a perfect square as length and breadth are not equal.

Ans:- x - 2y and x + 2y are possible dimensions of the garden. No,the garden is not a perfect square as length and breadth are not equal.
Given, 
Write
As 
Here a = x ; b = 2y
We get
As the garden is rectangular , we can write area A =  length × breadth
The possibility is length = x + 2y and breadth = x - 2y (or) viceversa
As length  breadth the garden is not a perfect square