Answer:
[tex] 189.25 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of the shape = Area of rectangle + Area of semicircle.
For rectangle:
Length = 15 cm
Width = 10 cm
For semicircle:
Diameter = 10 cm
Radius = 10/2 = 5 cm
Area of the shape
[tex] = lb + \frac{1}{2} \pi {r}^{2} \\ \\ = 15 \times 10 + \frac{1}{2} \times 3.14 \times {(5)}^{2} \\ \\ = 150 + \frac{1}{2} \times 3.14 \times 25 \\ \\ = 150 + 39.25 \\ \\ = 189.25 \: {cm}^{2} [/tex]
