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.
√ [ (3 - 0)^2 + (3 - 0)^2 ] = √ [9 + 9 ] = √18 = 3√2 units
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