Modulus Area

Geometry Level 3

\[ \large \begin{cases} \color{blue}{y = |x| + 2} \\ \color{darkgreen}{y = |x| - 2} \\ \color{red}{y = |x + 2|} \\ \color{magenta}{y = |x - 2|} \end{cases}\]

Find the area of region bounded by the curves above.