Let P and P′ be two parallelograms with equal area, and let their sidelengths be a, b and a′, b′. Assume that a′≤a≤b≤b′, and moreover, it is possible to place the segment b′ such that it completely lies in the interior of the parallelogram P.
Show that the parallelogram P can be partitioned into four polygons such that these four polygons can be composed again to form the parallelogram P′. geometryparallelogramvectorIMO ShortlistIMO Longlist