Question

As seen in the diagram below, Madelyn is building a walkway with a width of a feet to

Answer 1

Applying the area of a rectangle, the width of the walkway (x) is: 4 feet.

What is the Area of a Rectangle?

Area of a rectangle = (length)(width)

Total area of the pool and walkway = 300 sq. ft

Length of the pool and walkway = 12 + 2x

Width of the pool and walkway = 7 + 2x

Thus, we will have the equation of the total area as:

(12 + 2x)(7 + 2x) = 300

4x² + 38x + 84 = 300

4x² + 38x + 84 - 300 = 0

4x² + 38x - 216 = 0

Factorize

(x - 4)(2x + 27) = 0

x = 4

or

x = -27/2

The width, x, cannot be negative, so, the width of the walkway (x) would be 4 feet.

Learn more about the area of a rectangle on:

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