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October 8th, 2013, 05:20 PM  #1 
Member Joined: Aug 2012 Posts: 71 Thanks: 1  Algebra word problem
Hi everyone, I am struggling to work out the equation for this word problem. Q: A hall is twice as long as it is wide. A 2m wide veranda runs round the hall. If the area of the hall plus the veranda is 112m, find the area of the veranda. Thanks for your help! 
October 8th, 2013, 05:59 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,948 Thanks: 1139 Math Focus: Elementary mathematics and beyond  Re: Algebra word problem
Let x be the length of the hall and y be the width. Since the length is twice the width, y = x/2. The veranda is 2m wide. The total area is 112m. This gives the equation The area of the veranda is then 
October 9th, 2013, 03:41 AM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  Re: Algebra word problem
You sure the area is 112, Doc? Would be "nicer" if 96 or 126 
October 9th, 2013, 11:57 AM  #4 
Member Joined: Aug 2012 Posts: 71 Thanks: 1  Re: Algebra word problem
Yep, I've doublechecked my textbook and it is 112m.

October 9th, 2013, 12:50 PM  #5 
Senior Member Joined: Jun 2013 From: London, England Posts: 1,316 Thanks: 116  Re: Algebra word problem
In that case, the answer is: Just solve the quadratic in x above. 
October 9th, 2013, 01:14 PM  #6  
Global Moderator Joined: Dec 2006 Posts: 20,757 Thanks: 2138  Quote:
 

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