The width of the square garden is 4 feet
How to determine the width of the garden?
The area of the garden is given as:
x^2 + 20x + 75 = 171
Subtract 171 from both sides
x^2 + 20x - 96 = 0
Expand
x^2 + 24x - 4x - 96 = 0
Factorize
x(x + 24) - 4(x + 24) = 0
Factor out x + 24
(x - 4)(x + 24) = 0
Solve for x
x = 4 or x =-24
The width of the garden cannot be negative.
So, we have:
x = 4
Hence, the width of the garden is 4 feet
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