A sheet of paper is torn in such a way it resembles a quadrilateral. The diagonal of the quadrilateral piece of paper is 14 \(cm\), and the perpendiculars dropped on it from the remaining opposite vertices are 26 \(cm\) and 6 \(cm\). Find the area of the piece of paper in hand.
Area of the quadrilateral piece of paper \(=\) \(cm^2\)