Answer:
The width of the walkway is 3.72 ft
Step-by-step 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
[tex](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[/tex]
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
