Determine the Quadratic Function Whose Graph Is Given $= \frac { 120 } { \pi + 4 } \approx 16.8$

question 66

Multiple Choice

Determine the quadratic function whose graph is given.
-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 60 feet of fencing
To go around the garden, what dimensions will give him the maximum area in the garden?

• A) width \(= \frac { 120 } { \pi + 4 } \approx 16.8\), length \(= 8.4\)
• B) width \(= \frac { 60 } { \pi + 4 } \approx 8.4\), length \(= 16.8\)
• C) width \(= \frac { 120 } { \pi + 4 } \approx 16.8\), length \(= 21.6\)
• D) width \(= \frac { 120 } { \pi + 8 } \approx 10.8\), length \(= 16.1\)