Answer:
213.29 square meters
Step-by-step explanation:
To find the area of the shape, first, find the areas of the figures labeled A, B and C.
Rectangle A
Width = 19 meters
Height = 3 meters
![\begin{gathered} \text{Area}=19*3 \\ =57m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/40nuyxlrkrzmahj8hgwjn2ibh2pjstm5fx.png)
Rectangle B
Width = 16 meters
Height = 8 meters
![\begin{gathered} \text{Area}=16*8 \\ =128m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/focw3pms9lqnocr6pxbiiuyzyqxgvt5mk7.png)
Sector C
The shape labeled C is a quadrant (circle divided into 4).
The radius of the circle = 6m
![\begin{gathered} \text{Area}=(\pi r^2)/(4) \\ =(\pi*6^2)/(4) \\ =9\pi\; m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/n5nvoda2y925mhjf4u8ptztmtyw8mrvqiv.png)
Thus, the total area of the figure is:
![\begin{gathered} A=57+128+9\pi \\ =213.29m^2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pbwglnhz0fauw3q62fqn90tm9fe33e0lal.png)
Check
Section C is a circle divided into 4.