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

Option A
`15.5\ m^(2)`

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=(1)/(2)\pi r^(2)`

we have

`r=3/2=1.5\ m`

substitute

`A=(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)`