The dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0
<h3>How to determine the dimension</h3>
For the pool, we have that;
Let the width = x feet
Length = (x+8) feet
The pool alongside the walkway gives;
Width = x + 5 + 5 = (x + 10) feet
Length = x + 8 + 5 + 5 = (x + 18) feet
Total area of the pool with walkway = 950 square feet
Note that formula for area is given as
Area = length * width = 950
Equate the length and width
(x+18) × (x + 10) = 950
Using the FOIL method, we have;
(x × x )+ (x × 10) + (18 × x) + (18 × 10) = 950
x² + 10x + 18x + 180 -950 = 0
collect like terms
x² + 28x - 770 = 0
Thus, the dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0
Learn more about area of a rectangle here:
brainly.com/question/14137384
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