The width of the walkway around the pool will be 2 feet.
<h3>What is the area of the rectangle?</h3>
Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
Nicole is building a walkway with a width of x feet to go around a swimming pool that measures 11 feet by 7 feet.
Let a be the width of the walkway.
The area of the pool will be
If the total area of the pool and the walkway will be 165 square feet.
Area of pool = (11 + 2a) x (7 + 2a)
165 = 4a² + 36a + 77
4a² + 36a - 88 = 0
a² + 9a - 22 = 0
a² + 11a - 2a - 22 = 0
(a + 11)(a - 2) = 0
a = -11, 2
The width of the walkway around the pool will be 2 feet.
More about the area of the rectangle link is given below.
brainly.com/question/20693059
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