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'Weekly Problem 9 - 2006' printed from http://nrich.maths.org/

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$ABCD$ is a rectangle. $P$ is the midpoint of $AD$; the length of $BQ$ is one third the length of $BC$. What fraction of the area of the rectangle is the area of the shaded quadrilateral $ABQP$?
rectangle

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This problem is taken from the UKMT Mathematical Challenges.

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