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2023 WSMO Speed Round Problems/Problem 8

Revision as of 14:34, 2 May 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== In regular octagon <math>ABCDEFGH</math> of sidelength <math>4,</math> quadrilaterals <math>ACEG</math> and <math>BDFH</math> are drawn. Find the square of the ar...")
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Problem

In regular octagon $ABCDEFGH$ of sidelength $4,$ quadrilaterals $ACEG$ and $BDFH$ are drawn. Find the square of the area of the overlap of the two quadrilaterals.

Solution

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