Answer:
Area of the figure = 109 cm. square
Step-by-step explanation:
The radius of the semi circle is 12 ÷ 2 = 6 cm.
Area of the semi circle = ![\frac{1}{2}\pi(6^{2})=18\pi](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Cpi%286%5E%7B2%7D%29%3D18%5Cpi)
The radius of the quarter circle is 6 cm.
Area of the quarter circle = ![\frac{1}{4}\pi(6^{2}=9\pi](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Cpi%286%5E%7B2%7D%3D9%5Cpi)
The area of the rectangle = 12 × 2 = 24
The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square