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You have $300 to spend on a fence. You want to fence in an area that is a rectangle split in two in the middle

You have $300 to spend on a fence. You want to fence in an area that is a rectangle split in two in the middle (so the result is two enclosed rectangular areas which share an edge). The fencing for the outside all costs $5 per meter of fencing, and the material for the divider between the rectangles costs $20 per meter. Find the maximum possible enclosed area

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