Answer :

we have that the area of the semicircle is 100,530964915 m^2

[tex]\begin{gathered} A\text{ = }\frac{\pi r^2}{2} \\ =\text{ }\frac{\pi(8m)^2}{2}=\text{ }32\pi m^2 \\ =\text{ }100,530964915m^2 \end{gathered}[/tex]

Now we need to find the area of the triangle, we now that the area of the non rectangle triangle is 96 m^2

[tex]\begin{gathered} A\text{ = }\frac{b\cdot h}{2}\text{ = }\frac{16m\cdot\text{ 12m}}{2} \\ =\text{ }\frac{192m^2}{2}=96m^2 \end{gathered}[/tex]

So the area of the figure is 196,530964915, the answer is 196.5 m^2.