From a Tract of Land, a Developer Plans to Fence

question 149

Multiple Choice

From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $6 per foot and the fence for the middle costs $4 per foot. If each lot contains 4,600 square feet, find the dimensions of each lot that yield the minimum cost for the fence. Round your answer to two decimal places. ​​

• A)Dimensions are 42.19 ft for the side parallel to the divider and 109.03 ft for the other side.
• B)Dimensions are 109.03 ft for the side parallel to the divider and 42.19 ft for the other side.
• C)Dimensions are 67.82 ft for the side parallel to the divider and 67.82 ft for the other side.
• D)Dimensions are 58.74 ft for the side parallel to the divider and 78.32 ft for the other side.
• E)Dimensions are 78.32 ft for the side parallel to the divider and 58.74 ft for the other side.

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Definitions:

Deviant Behavior

Actions that violate the norms of a society or group.

Vertical Axis

Refers to the y-axis in a chart or graph, representing the range of values for a given variable.