2. In the Cartesian coordinate system, the area of the region formed by the points satisfying $|x|+|y|+|x-2| \leq 4$ is
2.12.

Analysis: By discussing different cases, we can see that the figure is formed by the 6 lines $2 x+y \leq 6, y=2, y \leq 2 x+2, y \geq-2 x-2, y=-2$, $y-2 x \geq-6$. The area of this figure is 12.