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A farmer wants to fence in and area of 1.5 million square feet in a rectangular...

A farmer wants to fence in and area of 1.5 million square feet in a rectangular field. He then divides the area in half by putting another line of fencing parallel to one of the sides of the rectangle in the interior of the area. What is the dimensions of the rectanglular area that minimizes the amount of fencing used. Let x denote the length of fencing (in million of ft) along the direction where 3 pieces of fencing is used. Let y denote the fencing (in million of ft) alongi the direction where only 2 pieces of fencing are used.

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