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MathNet 2013 Question 34

Math Olympiad Vault · MathNet 2013

Question 34

Let $ABCDEF$ be a regular hexagon, let $P$ be the midpoint of the side $AB$ and let $R$ be the midpoint of the side $EF$, as shown in the figure. What is the ratio of the area of the quadrilateral $APRF$ to the area of the quadrilateral $BCDP$?

Question illustration