In order to find the perimeter of this figure, let's calculate the length of the semicircle at the top of the figure.
The diameter of the semicircle is equal to 5 meters, so the radius (which measures half the diameter) is equal to 2.5 meters.
Now, to calculate the length of the semicircle, we can use the formula below:
[tex]\begin{gathered} C=\pi r \\ C=3.14\cdot2.5 \\ C=7.85 \end{gathered}[/tex]
Calculating the perimeter of the figure, we have:
[tex]\begin{gathered} P=7.85+9+5+9 \\ P=30.85 \end{gathered}[/tex]
Rounding to the nearest tenth (half even method), we have a perimeter of 30.8 meters.
