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Ethan wants to purchase a rectangular lot at a lake resort. He drew the layout of the lot on a coordinate plane, where the x- and y- values represent the length, in yards. The center of the lot is located at (0,0). The northeast corner of the lot is located at (16.5, 13.5). The southeast corner of the lot is located at (16.5, -13.5). The northwest corner of the lot is located at (-16.5, 13.5). The southwest corner of the lot is located at (-16.5, -13.5). What is the area of the rectangular lot?
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