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In the diagram, four squares of side length $2$ are placed in the corners of a square of side length $6$. Each of the points $W$, $X$, $Y$, and $Z$ is a vertex of one of the small squares. Square $ABCD$ can be constructed with sides passing through $W$, $X$, $Y$, and $Z$. What is the maximum possible distance from $A$ to $P$?

 Dec 2, 2022

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