Answer:
[tex] 208.5 \: {units}^{2} [/tex]
Step-by-step explanation:
Area of the figure = Area of rectangle with dimensions 13 by 10 units + Two times the area of one semicircle with radius (10/2 = 5) 5 units.
[tex] = lb + 2 \times \frac{1}{2} \pi {r}^{2} \\ = 13 \times 10 + 3.14 {(5)}^{2} \\ = 130 + 3.14 \times 25 \\ = 130 + 78.5 \\ = 208.5 \: {units}^{2} [/tex]
