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April 25th, 2013, 07:12 PM   #1
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Finding the dimension of paper

A sheet of paper contains 18 square inches of print. The margins at the top and bottom are each two inches, and the side margins are one inch each. What are the dimensions of the sheet of paper if its total area is to be a minimum?
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April 25th, 2013, 07:31 PM   #2
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Re: Finding the dimension of paper

So we know where you are stuck, can you tell us what you have tried?
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April 25th, 2013, 11:27 PM   #3
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Re: Finding the dimension of paper

Please provide hint only how to proceed...that will help...thanks...
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April 25th, 2013, 11:29 PM   #4
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Re: Finding the dimension of paper

Have you drawn a diagram?
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April 26th, 2013, 04:18 AM   #5
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Re: Finding the dimension of paper

Let the total length of paper be x and breath be y. then as per the question :

x * y -18 = (x-4) * (y -2)

which after solving gives the equation : 2y+x=13
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April 26th, 2013, 04:19 AM   #6
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Re: Finding the dimension of paper

Hello, sachinrajsharma!

Did you make a sketch?


Quote:
A sheet of paper contains 18 square inches of print.
The margins at the top and bottom are each two inches, and the side margins are one inch each.
What are the dimensions of the sheet of paper if its total area is to be a minimum?

Code:
      *---------------*
    2 |               |
    - |   *-------*   |
    : |   |       |   |
    y |   |y      |   |
    : |   |   x   |   |
    - |   *-------*   |
    2 |               |
    - *---------------*
      : 1 : - x - : 1 :
We are given:[color=beige] .[/color]

We want to minimize:[color=beige] .[/color]

Got it?

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April 26th, 2013, 05:35 AM   #7
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Re: Finding the dimension of paper

thanks a lot..
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