Answer:
13.7 units squared
Step-by-step explanation:
Diameter of semicircle d = 6 units.
Therefore, radius of semicircle r = 6/2 = 3 units
Area of the figure = Area of rectangle - 2 times area of semicircle
[tex] = 7 \times 6 - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = 42 - 3.14 \times {3}^{2} \\ \\ = 42 - 3.14 \times 9 \\ \\ = 42 - 28.26 \\ \\=13.74\\\\ \approx 13.7 \: {units}^{2} \\ [/tex]
