What is the area of the region bounded by x-|y|=0 and x-2=0?

Explanation

The region is bounded by x = |y| and the vertical line x = 2. It forms a triangle with vertices at (0,0), (2,2), and (2,-2). The base of the triangle along the line x=2 is 4, and the height from the y-axis is 2. The area is \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 2 = 4.

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