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October 8th, 2013, 05:20 PM   #1
Doc
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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!
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October 8th, 2013, 05:59 PM   #2
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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

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October 9th, 2013, 03:41 AM   #3
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Re: Algebra word problem

You sure the area is 112, Doc?
Would be "nicer" if 96 or 126
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October 9th, 2013, 11:57 AM   #4
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Re: Algebra word problem

Yep, I've double-checked my textbook and it is 112m.
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October 9th, 2013, 12:50 PM   #5
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Re: Algebra word problem

In that case, the answer is:



Just solve the quadratic in x above.
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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 m. What textbook is it?
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