Calculus 1 optimization

A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minimize the cost of the fence?
ft (smaller value)
ft (larger value)

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  1. I got 2000 ft for smaller value and 3000 ft for larger value. Just wanna verify with someone else if they agree or disagree with my answer

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  2. That is correct. Good job.

    As usual in problems like this, maximum area or minimum fencing is achieved when the total fence is divided equally between lengths and widths.

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