1. **Problem Statement:** Calculate the area of each shaded shape. 2. **Shape a (Large rectangle with smaller rectangle cut out):** - Large rectangle dimensions: 10 m by 8 m - Smaller rectangle cut out has height 5 m (given), width is the difference in length: 10 m - 8 m = 2 m 3. **Formula for area of rectangle:** $$\text{Area} = \text{length} \times \text{width}$$ 4. **Calculate areas:** - Area of large rectangle: $$10 \times 8 = 80\, m^2$$ - Area of smaller rectangle cut out: $$5 \times 2 = 10\, m^2$$ 5. **Shaded area for shape a:** $$80 - 10 = 70\, m^2$$ 6. **Shape b (Semicircle with inscribed right triangle):** - Radius of semicircle: 5 cm - Base of triangle: 8 cm 7. **Formula for area of semicircle:** $$\text{Area} = \frac{1}{2} \pi r^2$$ 8. **Calculate semicircle area:** $$\frac{1}{2} \pi (5)^2 = \frac{1}{2} \pi 25 = 12.5\pi \approx 39.27\, cm^2$$ 9. **Formula for area of right triangle:** $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 10. **Height of triangle is radius (5 cm), base is 8 cm:** $$\frac{1}{2} \times 8 \times 5 = 20\, cm^2$$ 11. **Shaded area for shape b (semicircle minus triangle):** $$39.27 - 20 = 19.27\, cm^2$$ 12. **Shape c (Annulus - ring):** - Outer radius: 10 m - Inner radius: 9 m 13. **Formula for area of annulus:** $$\text{Area} = \pi (R^2 - r^2)$$ 14. **Calculate annulus area:** $$\pi (10^2 - 9^2) = \pi (100 - 81) = 19\pi \approx 59.69\, m^2$$ **Final answers:** - a) $$70\, m^2$$ - b) $$19.27\, cm^2$$ - c) $$59.69\, m^2$$