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Found problems: 1

2016 Singapore Senior Math Olympiad, 4
Let $P$ be a $2016$ sided polygon with all its adjacent sides perpendicular to each other, i.e., all its internal angles are either $90^o$ or $270^o$. If the lengths of its sides are odd integers, prove that its area is an even integer.
perpendicular integer area integer geometry integer sidelengths parity