Solve the Problem $= \frac { 40 } { \pi + 4 } \approx 5.6$

Solve the problem.
-Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 40 feet of fencing to go around it, what dimensions will give him the maximum area in the garden?

A) width $= \frac { 40 } { \pi + 4 } \approx 5.6$ , length $= 11.2$
B) width $= \frac { 80 } { \pi + 8 } \approx 7.2$ , length $= 10.8$
C) width $= \frac { 80 } { \pi + 4 } \approx 11.2$ , length $= 14.4$
D) width $= \frac { 80 } { \pi + 4 } \approx 11.2$ , length $= 5.6$