Answer:
Option B [tex](2 \pi+12)\ cm[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The perimeter of the figure is equal to sum the length of semicircle plus the length of three sides of a square
Find the length of semicircle
Remember that the circumference of semicircle is equal to
[tex]C=\frac{1}{2}\pi D[/tex]
we have
[tex]D=4\ cm[/tex]
substitute
[tex]C=\frac{1}{2}\pi(4)=2 \pi\ cm[/tex]
The perimeter of the figure is equal to
[tex]P=2 \pi+3(4)=(2 \pi+12)\ cm[/tex]
