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 April 25th, 2013, 08:12 PM #1 Senior Member   Joined: Feb 2013 Posts: 114 Thanks: 0 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?
 April 25th, 2013, 08:31 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,208 Thanks: 516 Math Focus: Calculus/ODEs Re: Finding the dimension of paper So we know where you are stuck, can you tell us what you have tried?
 April 26th, 2013, 12:27 AM #3 Senior Member   Joined: Feb 2013 Posts: 114 Thanks: 0 Re: Finding the dimension of paper Please provide hint only how to proceed...that will help...thanks...
 April 26th, 2013, 12:29 AM #4 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,208 Thanks: 516 Math Focus: Calculus/ODEs Re: Finding the dimension of paper Have you drawn a diagram?
 April 26th, 2013, 05:18 AM #5 Senior Member   Joined: Feb 2013 Posts: 114 Thanks: 0 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
April 26th, 2013, 05:19 AM   #6
Math Team

Joined: Dec 2006
From: Lexington, MA

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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]$xy \,=\,18$

We want to minimize:[color=beige] .[/color]$A \;=\;(x\,+\,2)(y\,+\,4)$

Got it?

 April 26th, 2013, 06:35 AM #7 Senior Member   Joined: Feb 2013 Posts: 114 Thanks: 0 Re: Finding the dimension of paper thanks a lot..

 Tags dimension, finding, paper

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