AMC 10 2014a Problem 18

A square in the coordinate plane has vertices whose $y$-coordinates are $0$, $1$, $4$, and $5$. What is the area of the square? $\textbf{(A)}\ 16 \textbf{(B)}\ 17 \textbf{(C)}\ 25 \textbf{(D)}\ 26 \textbf{(E)}\ 27$