2010 Fermat Problem 20

A square has side length 5. In how many different locations can point X be placed so that the distances from X to the four sides of the square are 1, 2, 3, and 4?

\textbf{(A)}\ 0\quad \textbf{(B)}\ 12\quad \textbf{(C)}\ 4\quad \textbf{(D)}\ 8\quad \textbf{(E)}\ 16

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