MathDB
Tiling a rectangle with squares

Source: 2016 BAMO-8 #1 (modified, diagram will be added shortly)

February 24, 2016
geometryrectangleB8

Problem Statement

The diagram below is an example of a <spanclass=latexitalic>rectangletiledbysquares</span>{<span class='latex-italic'>rectangle tiled by squares</span>}: http://i.imgur.com/XCPQJgk.png Each square has been labeled with its side length. The squares fill the rectangle without overlapping. In a similar way, a rectangle can be tiled by nine squares whose side lengths are 2,5,7,9,16,25,28,332,5,7,9,16,25,28,33, and 3636. Sketch one such possible arrangement of those squares. They must fill the rectangle without overlapping. Label each square in your sketch by its side length as in the picture above.