The question is an illustration of perimeters.
The amount of patio to remove to install the pool is 8 feet.
From the question, we have:


The perimeter of the patio is:



A 1ft walkway means that;
1ft would be subtracted from both sides of the patio before installing the pool
So, the perimeter of the patio in terms of the length of the pool is:

Equate both expressions


Divide both sides by 4

Subtract 2 from both sides

So, the perimeter of the pool is:


The amount of patio to remove is:

So, we have:


Hence, 8ft of the patio would be removed to install the pool
<em>See attachment for illustration</em>
Read more about perimeters at:
brainly.com/question/6465134