Answer:
[tex]A=2,062.375\ ft^2[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The area not covered by the pool is equal to the area of the triangular backyard minus the area of the circular pool
so
[tex]A=\frac{1}{2}(b)(h) -\pi r^{2}[/tex]
where
[tex]b=84\ ft\\h=72\ ft\\r=17.5\ ft\\\pi=3.14[/tex]
substitute
[tex]A=\frac{1}{2}(84)(72) -(3.14)(17.5)^{2}[/tex]
[tex]A=3,024-961.625\\A=2,062.375\ ft^2[/tex]
