# Longest Distance

Geometry Level 4

In the image, 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 $$Z$$.

The maximum possible distance from $$A$$ to $$P$$ is closest to which of the following numbers?

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