Answer:
[tex]58.8\ mm^{2}[/tex]
Step-by-step explanation:
we know that
The area of the figure is equal to the area of a rectangle plus the area of semicircle
Step 1
Find the area of the rectangle
The area of the rectangle is equal to
[tex]A=bh[/tex]
we have
[tex]b=9\ mm[/tex]
[tex]h=3\ mm[/tex]
substitute
[tex]A=9*3=27\ mm^{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=9/2=4.5\ m[/tex]
substitute
[tex]A=\frac{1}{2}(3.14)(4.5^{2})=31.8\ mm^{2}[/tex]
Step 3
Find the area of the figure
[tex]27\ mm^{2}+31.8\ mm^{2}=58.8\ mm^{2}[/tex]
