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>
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