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

Find the area. Round to the nearest hundredth when necessary. I D Area = m?-example-1
User Josepholiveira
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2 Answers

14 votes
14 votes

Answer:

See below

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

User Ehmad
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2.2k points
9 votes
9 votes

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(}(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.