\textbf{151.} Points $A\begin{vmatrix}3\\5\end{vmatrix}$ and $B\begin{vmatrix}9\\11\end{vmatrix}$ are in a plane with different coordinate axes, and points $M$ and $N$ always move along the two axes. What is the minimum length of the broken line $AMNB$?
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\textit{[Figure: Coordinate plane with points B and A in first quadrant, M on y-axis, N on x-axis]}
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(1) $18$
(2) $19$
(3) $20$
(4) $21$
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