You work in facilities at a small college and need to build a fence around an athletic field (see diagram below). One side of the fencing is more costly than the other three sides because the fence needs to be higher on the sides with bleachers. The side that is in front of the bleachers will cost $15/foot and the other three sides will cost $12/foot. If you have a total of $10000 to buy fencing material, determine the dimensions of the field that will maximize the area. Bleachers

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