Prove that diagonal of square bisects total area.
Source:
February 19, 2011
geometryrectanglerotationinductioncombinatorics unsolvedcombinatorics
Problem Statement
A square is divided into congruent rectangles with sides of integer lengths. A rectangle is important if it has at least one point in common with a given diagonal of the square. Prove that this diagonal bisects the total area of the important rectangles