Question

An inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire area of the pool

including the walkway is 924 fta, find the width of the walkway rounded to the neares hundreths.
Width​

Answer 1

The width of the walkway is 3.72 ft

Explanation:

Let

x -----> the width of the walkway in ft

we know that

The area of the rectangular pool plus the area of the walkway is equal to

`(16+2x)(32+2x)=924\\\\(16)(32)+(16)(2x)+(2x)(32)+(2x)(2x)=924\\\\512+32x+64x+4x^(2) =924\\\\4x^(2) +96x+512-924=0\\\\4x^(2)+96x-412=0`

Solve the quadratic equation by graphing

The solution is x=3.72 ft

see the attached figure

therefore

The width of the walkway is 3.72 ft