CPM Homework Help : A2C Problem 10-129

Graph the inequalities $y \geq | x - 2 |$ and $y \leq 4 - | x |$ then find the area of the enclosed region.

Hint:

These should be 'V'-shaped graphs with shading. Do you remember how to shift parent graphs?

Hint 2:

Where should you shade?

Hint 3:

What are the length and width of the shaded rectangle?

More Help:

$\text{The length is }3\sqrt{2},\text{the width is }1\sqrt{2}.$

What is the area?