Tiling Rectangles with Rectangles

Geometry Level 3

True or False?

Whenever a rectangle is tiled by rectangles all of which have at least one side of integer length, then the tiled rectangle has at least one side of integer length.

False True

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1 solution

Jon Haussmann
Jun 26, 2019

This is a fairly well-known result. Stan Wagon wrote a paper on it in 1987: http://qcpages.qc.cuny.edu/~zakeri/mat208/fourteen.pdf

Couldn’t you just say that the rectangle’s sides are sums of integers?

alex wang - 1 year, 11 months ago

Oh it says “at least”

alex wang - 1 year, 11 months ago

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