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In the figure above, P and Q are the mid...


In the figure above, P and Q are the midpoints of sides AB and BC, respectively, of square ABCD. Line segment PB is extended by its own length to point E, and line segment PQ is extended to point F so that `FEbotPE`. If the area of square ABCD is 9, what is the area of quadrilateral QBEF?

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