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A semicircle is attached to the side of a rectangle as shown.


What is the best approximation for the area of this figure?


Use 3.14 to approximate pi.


Select from the drop-down menu to correctly complete the statement.

The area is

A 62.1 cm²

B 117.4 cm²

C 122.1 cm²

D 164.5 cm²

Verified Answer :

calculista

Answer:

Option C \(122.1\ cm^{2}\)

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a rectangle plus the area of semicircle

see the attached figure to better understand the problem

Step 1

Find the area of the rectangle

The area of the rectangle is equal to

\(A=bh\)

we have

\(b=18\ cm\)

\(h=6\ cm\)

substitute

\(A=18*6=108\ cm^{2}\)

Step 2

Find the area of semicircle

The area of semicircle is equal to

\(A=\frac{1}{2}\pi r^{2}\)

we have

\(r=6/2=3\ m\)

substitute

\(A=\frac{1}{2}(3.14)(3^{2})=14.1\ cm^{2}\)

Step 3

Find the area of the figure

\(108\ cm^{2}+14.1\ cm^{2}=122.1\ cm^{2}\)



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tray0000

Answer:

Option C

Step-by-step explanation:

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