# 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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