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IMSO 2022 — Mathematics Exploration Question 2

IMSO Maths · IMSO 2022 — Mathematics Exploration

Question 2

Choose each number from 1 through 10 exactly once as a length or width to construct five different rectangles. Can these five pieces tile, without overlaps, (I) an $11\times11$ square and (II) a $13\times13$ square? If yes, draw an example; if not, explain why. Rectangles may be rotated or reflected.