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To find the area of a parallelogram, you multiply the base by the height. In this case, the base is 51.75 millimeters and the height is 39.5 millimeters.
Area = 51.75 mm x 39.5 mm = 2045.625 square millimeters
So, the area of the serving tray is closest to option B, 2,035 square millimeters.