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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

 Nov 12, 2018
 #1
avatar+99704 
+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)

 

 

cool cool cool

 Nov 12, 2018
 #2
avatar+7 
0

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

 Nov 12, 2018

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