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Source: 2022 AIME II Problem 11

February 17, 2022
AIME

Problem Statement

Let ABCDABCD be a convex quadrilateral with AB=2,AD=7,AB=2, AD=7, and CD=3CD=3 such that the bisectors of acute angles DAB\angle{DAB} and ADC\angle{ADC} intersect at the midpoint of BC.\overline{BC}. Find the square of the area of ABCD.ABCD.