Question

1.
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. A rectangle with a length of 6 m and a height of 2 m has a semi circle attached to the long side with a length of 3 m.

The area is m².

A. 15.5

B. 16.7

C.26.1

D.40.3
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Please tell me the Correct Answer It's 15 points!!

Answer 1

I whould say c have a good day

Answer 2

Answer:

Option A $15.5\ m^{2}$

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

$b=6\ m$

$h=2\ m$

substitute

$A=6*2=12\ m^{2}$

Step 2

Find the area of semicircle

The area of semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

we have

$r=3/2=1.5\ m$

substitute

$A=\frac{1}{2}(3.14)(1.5^{2})=3.5\ m^{2}$

Step 3

Find the area of the figure

$12\ m^{2}+3.5\ m^{2}=15.5\ m^{2}$