Verified Answer :

glittergurl0101

Its approximately 7.1 inches. 2 inches plus 2 inches is 4 so its obviously not a. 12.3 is just too ridiculously big for the figure so its down to C and B. 
since the rounded edge is bigger than the two inches, it wouldn't be B, which leaves you with C
Hope this helped you

calculista

Answer:

Option C. \(7.1\ in\)

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the circumference of a quarter circle plus the radius of the circle by two

so

Find the circumference of a quarter circle

we know that

The circumference of a quarter circle is equal to

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

we have

\(r=2\ in\)

substitute

\(C=\frac{1}{2}\pi (2)=\pi =3.1\ in\)

Find the perimeter of the figure

\(3.1\ in+2*2\ in=7.1\ in\)

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