Question

What is the approximate perimeter of the figure?

Answer 1

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 

Answer 2

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

$3.1\ in+2*2\ in=7.1\ in$