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The sides of convex quadrilateral ABCD are AB = 8, BC = 5, $CD = 5,$ and $DA = 8.$  Diagonals $\overline{AC}$ and $\overline{BD}$ intersect at $E$ so that $BE:ED = 1:1.$  Find the area of ABCD.

 
 Oct 29, 2024

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