You can notice that the shape can be divided into two parts: semi circle and rectangle
the total area=area of semi circle +area of rectangle
area of semi circle =
[tex] \frac{\pi {r}^{2} }{2} [/tex]
since the diameter =10 the radius must be 5
area of rectangle is width * height
therefore
area=
[tex] \frac{25\pi}{2} + 20 \times 10 = 239.25[/tex]
