Draw the graph of the system of inequalities below.  

$y\ge|x|-3$
$y\le−|x|+5$

1. What polygon does the intersection form? Justify your answer.

   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. Find the area of the intersection.

   Hint (c):

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