Answer:
Part 1) Area of rectangle [tex]3,600\ ft^{2}[/tex]
Part 2) Area of semicircle [tex]1,413\ ft^{2}[/tex]
Par 3) Total area of grass [tex]2,187\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The total area of grass is equal to the area of rectangle minus the area of semicircle
step 1
Find the area of rectangle
The area of rectangle is equal to
[tex]A=45*80=3,600\ ft^{2}[/tex]
step 2
Find the area of semicircle
The area of semicircle is equal to
[tex]A=\frac{1}{2}\pi r^{2}[/tex]
we have
[tex]r=60/2=30\ ft[/tex] -----> the radius is half the diameter
substitute
[tex]A=\frac{1}{2}(3.14)(30)^{2}[/tex]
[tex]A=1,413\ ft^{2}[/tex]
step 3
Find the total area of grass
[tex]3,600\ ft^{2}-1,413\ ft^{2}=2,187\ ft^{2}[/tex]
