Nicole is building a walkway with a width of xx feet to go around a swimming pool that measures 11 feet by 7 feet. If the total

Question

1 year ago

11

area of the pool and the walkway will be 165 square feet, how wide should the walkway be?

1 answer:

lorasvet [3.4K] · Answer 1 · 2024-01-21T01:49:06+03:00

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.

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