Answer:
[tex] 20.2 \: {in}^{2} [/tex]
Step-by-step explanation:
Area of the shaded region = Area of rectangle - Area of semicircle
[tex] = lb - \frac{1}{2} \pi {r}^{2} \\ \\ = 6 \times 5 - \frac{1}{2} \times 3.14 \times { \bigg( \frac{5}{2} \bigg)}^{2} \\ \\ = 30- \frac{1}{2} \times 3.14 \times \frac{25}{4} \\ \\ = 30- \frac{78.5}{8} \\ \\ = 30 - 9.8125 \\ \\ = 20.1875 \: \\ \\ \approx 20.2 \: {in}^{2} [/tex]
