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Two points, ${}A$ and $B$, are on the pavement $6$ inches apart. Cassidy the caterpillar traces out a path walking along all the points that are four times as far from ${}A$ as from $B$.  Cassidy has red paint on her feet, so she literally traces out the whole path!  What is the area of the region inside Cassidy's path?

 
 Dec 20, 2023

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