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IOQM 2022 P1

Source:

March 8, 2022
geometryIOQM

Problem Statement

Three parallel lines L1,L2,L2L_1, L_2, L_2 are drawn in the plane such that the perpendicular distance between L1L_1 and L2L_2 is 33 and the perpendicular distance between lines L2L_2 and L3L_3 is also 33. A square ABCDABCD is constructed such that AA lies on L1L_1, BB lies on L3L_3 and CC lies on L2L_2. Find the area of the square.
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