Make a complete graph of the system of inequalities below.  

    $\left. \begin{array} { l } { y \geq | x | - 3 } \\ { y \leq - | x | + 5 } \end{array} \right.$

1. What polygon is formed?

   Hint (a):

   The polygon looks like it has perpendicular sides. What are the slopes of the sides?
   Does this tell you they are perpendicular?

2. What are its vertices?

   Hint (b):

   Look at the graph to find the vertices.

3. What is the area of the enclosed polygon?

   Hint (c):

   Each side of the polygon is the hypotenuse of a right triangle with side lengths of $4$.