A rancher who wishes to fence off a rectangular area finds that the fencing in the east-west direction will require extra reinforcement due to strong prevailing winds. Because of this, the cost of fencing in the east-west direction will be $15 per (linear) yard, as opposed to a cost of $10 per yard for fencing in the north-south direction. Find the dimensions of the largest possible rectangular area that can be fenced for $6600.

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