Keywords: Rectangle to square difference2.gif Transferred from the English Wikipedia Geometric demonstration of a rectangle - divided into a square minus a smaller square The animated sequence shows An initial rectangle Any dimensions It finds the largest contained square It divides the remainder rectangle in half and cuts it there It move the cut rectangle section onto the bottom side The resulting shape is a large square with a small square missing Algebraically A rectangle A by B Is divided into A square of length A+B /2 A missing square of length abs A-B /2 This relation allows any multiplication to be transformed into the difference of two squares A x B A+B /2 2 - A-B /2 2 Tomruen Animations of geometry Animated GIF |