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1) A rancher wants to fence in an area of 1,900,000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?

2) A rancher wants to fence in an area of 460 square feet in a rectangular field using fencing material costing 1.5 dollars per foot, and then divide it in half down the middle with a partition, parallel to one side, constructed from material costing 0.4 dollars per foot.

Assuming that the partition is parallel to the side which gives the width of the field, find the dimensions of the field of the cheapest design.

Length=

Width=

What is the (total) cost of the cheapest design?