MathDB
TOT 088 1985 Spring J4 square divided into 5 rectangles, 4/5 equal areas

Source:

August 24, 2019
geometryrectangleequal areassquare

Problem Statement

A square is divided into 55 rectangles in such a way that its 44 vertices belong to 44 of the rectangles , whose areas are equal , and the fifth rectangle has no points in common with the side of the square (see diagram) . Prove that the fifth rectangle is a square. https://3.bp.blogspot.com/-TQc1v_NODek/XWHHgmONboI/AAAAAAAAKi4/XES55OJS5jY9QpNmoURp4y80EkanNzmMwCK4BGAYYCw/s1600/TOT%2B1985%2BSpring%2BJ4.png