multiply through by 2 to clear fractions.
There are four quadrants in which x and y are either positive or negative.
In each quadrant, if one or both of them is negative, put a minus sign in front of it or them, which will make them positive like the abs value. This will get x and y out of their jail cell. Then you will have four linear equations in each quadrant which will outline a diamond shaped box, from which you can find the area of it.