What is the distance around the outside of this shape? *

Answer:
A) [tex]21.42[/tex]
Step-by-step explanation:
Find the half-circumference of the semi-circle:
[tex]\frac{1}{2}C=\frac{1}{2}(\pi d)\\ \\\frac{1}{2}C=\frac{1}{2}(6\pi)\\ \\ \frac{1}{2}C=3\pi[/tex]
Add this to the partial perimeter of the rectangle:
[tex]3+6+3+3\pi=12+3(3.14)=12+9.42=21.42[/tex]