The set of all solutions of the system

\( \begin{cases} x+y\leq 3 \\ 2x+y\geq 2 \\ x\geq 0 \\ y\geq 0 \end{cases} \)

is a quadrilateral region. Find the number of units in the length of the longest side. Express your answer in simplest radical form.

Guest Nov 7, 2019