Answer:
The area of the figure is [tex]236.625\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of the figure is equal to the area of semicircle plus the area of rectangle plus the area of semicircle
so
The area of the figure is equal to the area of a circle plus the area of rectangle
[tex]A=\pi r^{2}+bD[/tex]
we have
[tex]r=15/2=7.5\ ft[/tex] ----> the radius is half the diameter
[tex]D=15\ ft[/tex]
[tex]b=4\ ft[/tex]
substitute the values
[tex]A=(3.14)(7.5^{2})+4*(15)=236.625\ ft^{2}[/tex]
