filling the graph 1 (corrected)

Let's say we take the graph $|x|$ and start filling it with water (let's assume that water can fit into infinitely small spaces). If we graph the height of the water ( $x$ ) and the area of the water needed to fill $|x|$ to that height ( $y$ ) then we gat a monomial in the form of $ax^b$ . What is $a+b$ ? (ft Corel Photo Paint)