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TOT 079 1984 Autumn S5 7x7 square by 16 1x3 tiles and 1 1x1 tiles

Source:

August 24, 2019
combinatoricscombinatorial geometryTiling

Problem Statement

A 7×77 \times 7 square is made up of 1616 1×31 \times 3 tiles and 11 1×11 \times 1 tile. Prove that the 1×11 \times 1 tile lies either at the centre of the square or adjoins one of its boundaries .
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