The area of the figure is 169.1.Given the figure attached has composed of a parallelogram of sides 8 and 24 and the semicircle has diameter of 8.
Now, Area of semicircle will be,
![A = (\pi \: r {}^(2) ) \\ 2](https://img.qammunity.org/2023/formulas/mathematics/high-school/w2lx1eeahwr2uu6tghd59c2cso9gcd6vqz.png)
Here diameter of semicircle is 8 so its radius will be half of it, means radius is
![So, A = \pi(4) ^(2) \\ - - \\ 2](https://img.qammunity.org/2023/formulas/mathematics/high-school/wmgw6o27x2hxpwum2zatr5cy5ar6sxbh2b.png)
![a = \pi * 8 \\](https://img.qammunity.org/2023/formulas/mathematics/high-school/rzjtk572yz3ssww33s20xxqnq891k3h45p.png)
A = 25.132
Figure will be
(144+25.132= 169.132),
on rounding it to nearest tenth place we get Area is 169.1.
Hence the area of the figure is 169.1.