Area Under This Curve

The graph of $|x| + |y| = 1$ is a square with vertices at $(0, 1)$ , $(1, 0)$ , $(0, -1)$ , and $(-1, 0)$ . Therefore, its side length is $\sqrt{1^2+1^2} = \sqrt2$ and the area $A = \sqrt 2 \cdot \sqrt 2 = 2$ , $\implies A + 100 = \boxed{102}$ .