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

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.