MathDB

2

Part of 1991 IberoAmerican

Problems(1)

Square cut by perpendicular lines

Source: Ibero-American Olympiad 1991, Problem 2

5/3/2007
A square is divided in four parts by two perpendicular lines, in such a way that three of these parts have areas equal to 1. Show that the square has area equal to 4.
geometryinequalitiesgeometric transformationrotationparallelogramgeometry proposed