Minimum Cost $\$ 6$ Per Foot and the Fence for the Middle Costs

question 39

Multiple Choice

Minimum cost. 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 $2200$ square feet, find the dimensions of each lot that yield the minimum cost for the fence.

• A)Dimensions are 61.86 ft for the side parallel to the divider and 35.56 ft for the other side.
• B)Dimensions are 35.56 ft for the side parallel to the divider and 61.86 ft for the other side.
• C)Dimensions are 46.90 ft for the side parallel to the divider and 46.90 ft for the other side.
• D)Dimensions are 40.62 ft for the side parallel to the divider and 54.16 ft for the other side.
• E)Dimensions are 54.16 ft for the side parallel to the divider and 40.62 ft for the other side.

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Incorporation Statute

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