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October 14th, 2012, 05:37 PM  #1 
Newbie Joined: Oct 2012 Posts: 1 Thanks: 0  Find length of sides of quadrilateral; write equation
Hello all, I have a seemingly simple question. I have a quadrilateral with sides (starting with the left side, moving clockwise)7x), (x+2), (2x1), (x3). a) write an equation for the perimeter and simplify: that's easy, and done. This ends up as 3x+5 b) Find the length of all sides. Using the result from above, 3x+5 = 5/3, and would give one of the sides a negative answer. I assume one cannot have a negative length? Your thoughts and help will be greatly appreciated. Kindly, David Dudek 
October 14th, 2012, 06:07 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,950 Thanks: 1141 Math Focus: Elementary mathematics and beyond  Re: Find length of sides of quadrilateral; write equation
You've got an expression, 3x + 5, not an equation. The result of 5/3 assumes 3x + 5 = 0, when it should be 3x + 5 = P, where P is the perimeter. Using this we have x = (P  5)/3. Can you continue from there? Note: P must be less than 26 units. Do you see why? 
October 14th, 2012, 06:49 PM  #3  
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  Re: Find length of sides of quadrilateral; write equation Quote:
side x3: x > 3 So x = 4 or 5 or 6  

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