Question: The lines \(y=2, y=x+1\), and \(y=11-x\) determine a triangle in the first quadrant.

1. draw this triangle showing the values \((x, y)\) of its vertices.
2. Set up the integral for its area with respect to \(x_{1}\), i.e., slice \(\bot \) to \(x\) -axis.
3. set up the integral for its area with respect to y, i.e. slice 11 to \(x\) -axis.
4. evaluate one of these representations of the area. Show your work.

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