Choose the one alternative that best completes the statement or answers the question.
-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 $= 5.6$

Question

Quizplus · Accepted Answer

The maximum area is achieved when the width is $\frac{80}{\pi + 4}$ and the length is half of the width, which is approximately 5.6.

Choose the One Alternative That Best Completes the Statement or Answers