The figure is formed by a rectangle and a semi-circle.
Let's find the semi-circumference
[tex]C=(\pi)\frac{d}{2}[/tex]
Where d = 11 and pi = 3.14.
[tex]C=3.14\cdot\frac{11}{2}\approx17.27ft[/tex]
Then, we find the perimeter of the figure without including one side
[tex]\begin{gathered} P=2(l+w) \\ \end{gathered}[/tex]
Where w = 5 and l = 11.
[tex]P=2w+l=2\cdot5+11=10+11=21ft[/tex]
At last, we add the semi-circumference and the perimeter to find the total
[tex]P_{\text{total}}=17.27+21=38.27ft[/tex]
Hence, the answer is 38.27 feet.
