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ABCD is a quadrilateral with bar(AB)=bar...

ABCD is a quadrilateral with `bar(AB)=bar(alpha)andbar(AD)=bar(beta)andbar(AC)=2bar(alpha)+3bar(beta).` If the area of the quadrilateral is `lambda` times the area of the parallelogram with `bar(AB)andbar(AD)` as adjacent sides, then prove that `lambda=(5)/(2)`

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