Respuesta :

Given data:

The given composite figure.

The given radius is r=(7 m)/2 =3.5 m.

The length of the rectangle is,

[tex]\begin{gathered} L=18\text{ m-2(3.5 m)} \\ =18\text{ m-7 m} \\ =11\text{ m} \end{gathered}[/tex]

The area of the given figure is,

[tex]\begin{gathered} A=(11\text{ m)(}7\text{ m)-2(}\frac{1}{2}\pi(3.5m)^2) \\ =77m^2-\pi(3.5m)^2 \\ =77m^2-38.4845m^2 \\ =38.5155m^2 \\ \approx38.51m^2 \end{gathered}[/tex]

Thus, the area of thhe composite figure is 38.51 sq-meter.

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