Answer:
213.29 square meters
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
[tex]\begin{gathered} \text{Area}=19\times3 \\ =57m^2 \end{gathered}[/tex]
Rectangle B
Width = 16 meters
Height = 8 meters
[tex]\begin{gathered} \text{Area}=16\times8 \\ =128m^2 \end{gathered}[/tex]
Sector C
The shape labeled C is a quadrant (circle divided into 4).
The radius of the circle = 6m
[tex]\begin{gathered} \text{Area}=\frac{\pi r^2}{4} \\ =\frac{\pi\times6^2}{4} \\ =9\pi\; m^2 \end{gathered}[/tex]
Thus, the total area of the figure is:
[tex]\begin{gathered} A=57+128+9\pi \\ =213.29m^2 \end{gathered}[/tex]
Check
Section C is a circle divided into 4.
