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.

tertre Mar 9, 2018