smc

The shape can be divided into a triangle and a trapezoid. For the triangle, the base is $5$ and the height is $5$, so the area is $\frac{5\cdot 5}{2}=\frac{25}{2}$. For the trapezoid, the two bases are $5$ and $11$ and the height is $3$, so the area is $\frac{3(5+11)}{2}=24$. Thus, the total area is $\frac{25}{2}+24=\frac{73}{2}=\boxed{36.5}$.