Results 1 to 3 of 3

Math Help - Find Width of Floor Mat

  1. #1
    Junior Member
    Joined
    Aug 2010
    From
    NYC
    Posts
    70

    Find Width of Floor Mat

    Jason paints with watercolors on a sheet of paper 29 inches wide by 13 inches high. He then places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The perimeter of the mat is 124 inches. How wide is the strip of the mat showing around the picture?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,546
    Thanks
    539
    Hello, fdrhs1984!

    A mat around a painting has nothing to do with carpeting . . .


    Jason paints with watercolors on a sheet of paper 29 inches wide by 13 inches high.
    He then places this sheet on a mat so that a uniformly wide strip of the mat
    shows all around the picture.
    The perimeter of the mat is 124 inches.
    How wide is the strip of the mat showing around the picture?

    I don't suppose you made a sketch . . .


    Code:
          : x :   29   : x :
        - *---*--------*---*   -
        x |   :        :   |   :
        - | - *--------* - |   :
          |   |        |   |   :
          |   |        |   |   :
       13 |   |13      |   | 2x+13
          |   |        |   |   :
          |   |   29   |   |   :
        - | - *--------* - |   :
        x |   :        :   |   :
        - *---*--------*---*   -
          : - -  2x+29 - - :

    Can you see what's going on?

    The painting is 29 by 13 inches.
    There is an \,x-inch strip of mat around the painting.

    Then the width of the mat is 2x+29 inches.
    And the height of the mat is 2x + 13 inches.

    The perimeter of the mat is 124 inches.

    Can you write an equation now?

    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Aug 2010
    From
    NYC
    Posts
    70
    Hello Soroban!

    Thanks for your help. The equation is (2x + 29)(2x + 13) = 124.

    I can do it now. Thanks a lot!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Find length and width
    Posted in the Calculus Forum
    Replies: 2
    Last Post: October 25th 2009, 05:57 PM
  2. Replies: 1
    Last Post: May 22nd 2009, 10:30 AM
  3. Find the Width of Garden
    Posted in the Geometry Forum
    Replies: 2
    Last Post: November 28th 2008, 12:42 PM
  4. Find Length and Width of Rectangle
    Posted in the Geometry Forum
    Replies: 2
    Last Post: November 3rd 2008, 05:59 AM
  5. Find the width of a frame
    Posted in the Geometry Forum
    Replies: 4
    Last Post: June 25th 2008, 12:39 PM

Search Tags


/mathhelpforum @mathhelpforum