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DK-GEORGMOHR 2016 Problem 3

    Prove that all quadrilaterals ABCDABCD where ∠B=∠D=90o\angle B = \angle D = 90^o , ∣AB∣=∣BC∣|AB| = |BC| and ∣AD∣+∣DC∣=1|AD| + |DC| = 1 , have the same area. Image

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Georg Mohr Contest 2016 official paper, page 1.

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