April 25th, 2013, 07:12 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, 07:31 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,168 Thanks: 472 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 25th, 2013, 11:27 PM  #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 25th, 2013, 11:29 PM  #4 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,168 Thanks: 472 Math Focus: Calculus/ODEs  Re: Finding the dimension of paper
Have you drawn a diagram?

April 26th, 2013, 04:18 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 = (x4) * (y 2) which after solving gives the equation : 2y+x=13 
April 26th, 2013, 04:19 AM  #6  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Re: Finding the dimension of paper Hello, sachinrajsharma! Did you make a sketch? Quote:
Code: ** 2     **  :     y  y   :   x     **  2    ** : 1 :  x  : 1 : We want to minimize:[color=beige] .[/color] Got it?  
April 26th, 2013, 05:35 AM  #7 
Senior Member Joined: Feb 2013 Posts: 114 Thanks: 0  Re: Finding the dimension of paper
thanks a lot..


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