In trapezoid $$\(A B C D, \overline{A B} \| \overline{C D}\)$$, and both $$\(\angle A\)$$ and $$\(\angle B\)$$ are obtuse. What is the area of the trapezoid if $$\(A B=10, B C=15, C D=24\)$$, and $$\(D A=13\)$$ ?

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