+647 Find the area of the region determined by the system \(\begin{align*} y &\geq |x| \\ y &\leq -|x+1| + 4. \end{align*}\)
+129899 This area forms a rectangle with vertices (0,0), (1.5,1.5), (-1,4) and (-2.5, 2.5)
The length of one side is √ [2 * 1.5^2 ] = 1.5√2
And the length of the other side is √ [2 *2.5^2 ] = 2.5√2
So the total area = 1.5√2 * 2.5√2 = 3.75 * 2 = 7 units^2
Here's a pic of the region : https://www.desmos.com/calculator/zlpwagi3cx
