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area bisector in a figure consisted of two joined rectangles

Source: 2005 Oral Moscow Geometry Olympiad grades 8-9 p1

October 16, 2020
geometryareasrectangle

Problem Statement

The hexagon has five 90o90^o angles and one 270o270^o angle (see picture). Use a straight-line ruler to divide it into two equal-sized polygons. https://cdn.artofproblemsolving.com/attachments/d/8/cdd4df68644bb8e04adbe1b265039b82a5382b.png