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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

Respuesta :

calculista

Answer:

Option C [tex]122.1\ cm^{2}[/tex]

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

[tex]A=bh[/tex]

we have

[tex]b=18\ cm[/tex]

[tex]h=6\ cm[/tex]

substitute

[tex]A=18*6=108\ cm^{2}[/tex]

Step 2

Find the area of semicircle

The area of semicircle is equal to

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]r=6/2=3\ m[/tex]

substitute

[tex]A=\frac{1}{2}(3.14)(3^{2})=14.1\ cm^{2}[/tex]

Step 3

Find the area of the figure

[tex]108\ cm^{2}+14.1\ cm^{2}=122.1\ cm^{2}[/tex]



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tray0000

Answer:

Option C

Step-by-step explanation:

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