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Math Help - Small box question

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    23

    Cool Small box question

    Each of the small boxes in the figure below is a square and the area of the figure is 52 square units. How many units are there in the outer perimeter of the figure?

    There is a drawing.

    first row has 1 small box
    2nd row has 3 small boxes
    3rd row has 4 small boxes
    4th row has 3 boxes
    5th row has 1 box

    sorry, don't know how to draw the box on this site.

    I would appreciate anyone's help.
    Thank you.
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  2. #2
    Super Member
    Joined
    Jan 2009
    Posts
    591
    Quote Originally Posted by ronaldj View Post
    Each of the small boxes in the figure below is a square and the area of the figure is 52 square units. How many units are there in the outer perimeter of the figure?

    There is a drawing.

    first row has 1 small box
    2nd row has 3 small boxes
    3rd row has 4 small boxes
    4th row has 3 boxes
    5th row has 1 box

    sorry, don't know how to draw the box on this site.

    I would appreciate anyone's help.
    Thank you.
    There was no drawing attached.
    My sketch seems to fit the constraints given.
    If the total area is 52, there are 12 squares.
    Each square is \dfrac{52}{12} square units.

    The length of one side of a square is  \sqrt{ \dfrac{52}{12} }

    Count the exterior sides & multiply to get the perimeter.

    May any corrections to my guess.

    .
    Attached Thumbnails Attached Thumbnails Small box question-sqrarea52.jpg  
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  3. #3
    Newbie
    Joined
    Oct 2009
    Posts
    23

    Many thanks for your patient reply!

    Much appreciated.
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