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

SanIshDip132 Nov 12, 2018

#1**+2 **

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)

CPhill Nov 12, 2018

#2**0 **

*Thanks so much for the walkthrough. But the result is wrong, the answer was 30.*

SanIshDip132 Nov 12, 2018