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MathNet 2011 Question 86

Math Olympiad Vault · MathNet 2011

Question 86

a) Rectangle $ABCD$ is partitioned into squares, each of which has integer perimeter. Is it true that $ABCD$ has integer perimeter?

b) Square $ABCD$ is partitioned into squares, each of which has integer perimeter. Is it true that $ABCD$ has integer perimeter?