The set of all solutions of the system [https://latex.artofproblemsolving.com/d/e/0/de04c194c9cde8d79c49152a6f4e92c4527d4a18.png] is a quadrilateral region. Find the number of units in the length of the longest side. Express your answer in simplest radical form
See this : https://www.desmos.com/calculator/lism3yazvg
Let the vertices of the quadrilateral be as follows :
A = (0, 3)
B = (0, 2)
C = (1, 0)
D = (3, 0)
The longest side is AD =
sqrt [ 3^2 + 3^2 ] =
sqrt [ 18] =
3sqrt ( 2)
Thanks so much for the walkthrough. But the result is wrong, the answer was 30.