Find the area of each component shape and add them together.<br><br>&bull; Semicircle (r = 10 cm): area = \( \dfrac{1}{2} \times \pi \times 10^2 = \dfrac{1}{2} \times 3.14 \times 100 = 157 \) cm&sup2;.<br>&bull; Quadrant (r = 8 cm): area = \( \dfrac{1}{4} \times \pi \times 8^2 = \dfrac{1}{4} \times 3.14 \times 64 = 50.24 \) cm&sup2;.<br>&bull; Triangle: base = 12 cm, height = 8 cm. Area = \( \dfrac{1}{2} \times 12 \times 8 = 48 \) cm&sup2;.<br>&bull; Total area = 157 + 50.24 + 48 = 255.24 cm&sup2;.<br><br>Final Answer: 255.24 cm&sup2;