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The figure is made up of two shapes, a semicircle and a square. What is the exact perimeter of the figure?

A2π+6 cm
B2π+12 cm
C4π+16 cm
D4π+12 cm

Verified Answer :

The answer is c .........I might be wrong but i am pretty sure

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Answer:

Option B \((2 \pi+12)\ cm\)

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The perimeter of the figure is equal to sum the length of semicircle plus the length of three sides of a square

Find the length of semicircle

Remember that the circumference of semicircle is equal to

\(C=\frac{1}{2}\pi D\)

we have

\(D=4\ cm\)

substitute

\(C=\frac{1}{2}\pi(4)=2 \pi\ cm\)

The perimeter of the figure is equal to

\(P=2 \pi+3(4)=(2 \pi+12)\ cm\)

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