Question

A swimming pool is to be constructed in a 1,176-ft2 backyard. There is to be a fence that will surround a 14-by-28-foot pool. The pool builder wants to build a concrete paver deck of a uniform width, x, surrounding the pool and filling the entire area of the backyard. What is the width of the pool deck?

Answer 1

The width of the deck to cover the backyard is 7 feet.

Area

Area is the amount of space occupied by a two dimensional object.

Length = 28 ft.,

width = 14 ft.

For width x, length of and  = 28 + x + x = 2x + 28, width of pool and deck and  = 14 + x + x = 2x + 14

Area of pool and deck = (2x + 28)(2x + 14) = 1176

4x² + 84x + 392 = 1176

4x² + 84x - 784 = 0

x = 7 ft.

The width of the deck  to cover the backyard is 7 feet.

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