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Math Help - Word

  1. #1
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    Exclamation Word

    I am having trouble with a word problem. I know I have to set up the minimizing function then i can state the domain then find the minimum dimensions as well. I just confuse overall so please help.

    7) A page is to contain 30 square inches of print. The margins at the top and the bottom of the page are each 2 inches wide. The margins on each side are only 1 inch wide. Find the dimesions of the page so that the least paper is used.
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by uniquereason81 View Post
    I am having trouble with a word problem. I know I have to set up the minimizing function then i can state the domain then find the minimum dimensions as well. I just confuse overall so please help.

    7) A page is to contain 30 square inches of print. The margins at the top and the bottom of the page are each 2 inches wide. The margins on each side are only 1 inch wide. Find the dimesions of the page so that the least paper is used.
    let the area of print be xy=30...then you have to set up the area of the page be A=(x+2)(y+1)

    go from there
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  3. #3
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    how did you get that equation
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  4. #4
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    Hello,

    Suppose that the printed part is a rectangle of sides x and y (x will be the length, y the height). And assuming that the paper is rectangular..
    The area of the printed part is xy=30

    Since there is a margin on top and on bottom of 2 inches each, the height of the paper will be y+4

    And since there are two lateral margins of 1 inch each, the length of the paper will be x+2

    Hence the area of the paper will be A=(x+2)(y+4)

    So find x and y such as A is minimized, and remember that xy=30

    Hence I'd advise you to develop the expression for A
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  5. #5
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Moo View Post
    Hello,

    Suppose that the printed part is a rectangle of sides x and y (x will be the length, y the height). And assuming that the paper is rectangular..
    The area of the printed part is xy=30

    Since there is a margin on top and on bottom of 2 inches each, the height of the paper will be y+4

    And since there are two lateral margins of 1 inch each, the length of the paper will be x+2

    Hence the area of the paper will be A=(x+2)(y+4)

    So find x and y such as A is minimized, and remember that xy=30

    Hence I'd advise you to develop the expression for A
    I always forget the double margin thign....grumbles
    Last edited by ThePerfectHacker; April 25th 2008 at 12:47 PM.
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  6. #6
    Moo
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    Attention is part of success
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  7. #7
    MHF Contributor Mathstud28's Avatar
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    Quote Originally Posted by Moo View Post
    Attention is part of success
    That is why I will never succeed
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  8. #8
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    I am so sorry Moo and Mathstud but I am still lost
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  9. #9
    Moo
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    Try to understand with this sketch


    (I'm sorry, but I've made it with Paint )
    Attached Thumbnails Attached Thumbnails Word-print.jpg  
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  10. #10
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    Wow something hard can become easy with a simple diagram. THANKS
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  11. #11
    Moo
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    Glad to see you understood the thing
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