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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 $$$\frac x2\,+\,4$$\(x\,+\,4)\,=\,112$ The area of the veranda is then $112\,-\,\frac{x^2}{2}$
 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 double-checked 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: $12\sqrt{57} \ - \ 20 \ \approx \ 70.6m^2$ Just solve the quadratic in x above.
October 9th, 2013, 01:14 PM   #6
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Quote:
 Originally Posted by Doc Yep, I've double-checked my textbook and it is 112m.
That would be an error anyway, as the units should be m². What textbook is it?

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