Problem primer for

Geometry Level pending

In the figure, \(ABCD\) is a trapezoid having perpendicular diagonals and one diagonal measures \(13\). If \(AE\) is perpendicular to \(CD\) having length \(10\) and the area of \(ABCD\) is \(\large\ \frac { a }{ \sqrt { b } }\), find \(a + b\).

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