Answer:
Option C \(122.1\ cm^{2}\)
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
\(b=18\ cm\)
\(h=6\ cm\)
substitute
\(A=18*6=108\ cm^{2}\)
Step 2
Find the area of semicircle
The area of semicircle is equal to
\(A=\frac{1}{2}\pi r^{2}\)
we have
\(r=6/2=3\ m\)
substitute
\(A=\frac{1}{2}(3.14)(3^{2})=14.1\ cm^{2}\)
Step 3
Find the area of the figure
\(108\ cm^{2}+14.1\ cm^{2}=122.1\ cm^{2}\)
