What is the perimeter of the figure to the nearest hundredth of an inch?

A.

68.24 inches

B.

43.12 inches

C.

38.56 inches

D.

26 inches

So we need to find the perimeter of the figure which consists of a rectangle whos one side is a=9 inches long and the other side is b=8 inches long, and a semicircle whos radius is one half of one side of the rectangle or r=b/2=4inches. The formula for the perimeter of a circle is Ps = (2*r*pi) / 2=r*pi and for the rectangle is Pr=2a+2b. We need to calculate the perimeter of a rectangle without one side like on the figure so lets modify the formula to: Pr=a+2b. Now we simply put in the numbers: Pr=8 inches + 2*9 inches = 8 inches + 18 inches = 26 inches. Ps=4 inches*3.14=12.56. When we sum the perimeters we get: Ps+Pr=12.56+26=38.56 inches. So the correct answer is C.