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=(2rpi)/2=rpi 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 + 29 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.
