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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Definitions:

Machine Shop

A workshop where metal is cut, shaped, and finished using machine tools.

Cement Production

The process of creating cement, which involves the extraction and blending of raw materials, followed by their heating and grinding.

Direct Labour Hours

The total number of hours worked by employees directly involved in the manufacturing process or delivery of a service.

Applied Overhead

The allocation of estimated overhead costs to specific products or job orders based on a predetermined rate or formula.