Answer:
\(58.8\ mm^{2}\)
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
\(A=bh\)
we have
\(b=9\ mm\)
\(h=3\ mm\)
substitute
\(A=9*3=27\ mm^{2}\)
Step 2
Find the area of semicircle
The area of semicircle is equal to
\(A=\frac{1}{2}\pi r^{2}\)
we have
\(r=9/2=4.5\ m\)
substitute
\(A=\frac{1}{2}(3.14)(4.5^{2})=31.8\ mm^{2}\)
Step 3
Find the area of the figure
\(27\ mm^{2}+31.8\ mm^{2}=58.8\ mm^{2}\)
