Question

Find the area. Round to the nearest hundredth when necessary. I D Area = m?

Answer 1

Given data:

The given composite figure.

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

The length of the rectangle is,

$\begin{gathered} L=18\text{ m-2(3.5 m)} \\ =18\text{ m-7 m} \\ =11\text{ m} \end{gathered}$

The area of the given figure is,

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

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

Answer 2

Answer:

See below

Step-by-step explanation:

The rectangle in the middle has area  L * W = (18-7) * 7  = 77 m^2

then the two ends form a circle of diameter 7    radius = 3.5

   area of the circle is then   pi r^2 =   pi (3.5^2) = 38.48 m^2

Summed = 115.48 m^2