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A sheet of paper is torn in such a way it resembles a quadrilateral. The diagonal of the quadrilateral piece of paper is 20 \(cm\), and the perpendiculars dropped on it from the remaining opposite vertices are 32 \(cm\) and 8 \(cm\). Find the area of the piece of paper in hand.
Area of the quadrilateral piece of paper \(=\) \(cm^2\)
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