Solve the Problem $= \frac { 60 } { \pi + 4 } \approx 8.4$

question 163

Multiple Choice

Solve the problem.
-Alan is building a garden shaped like a rectangle with a semicircle attached to one short side along its diameter. The diameter of the semicircle is equal to the width of the short side of the rectangle. If he has 30 feet of fencing to go around the garden, what dimensions will give him the maximum area in the garden?

• A) width \(= \frac { 60 } { \pi + 4 } \approx 8.4\), length \(= 4.2\)
• B) width \(= \frac { 30 } { \pi + 4 } \approx 4.2\), length \(= 8.4\)
• C) width \(= \frac { 60 } { \pi + 4 } \approx 8.4\), length \(= 10.8\)
• D) width \(= \frac { 60 } { \pi + 8 } \approx 5.4\), length \(= 8.1\)

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