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Math Help - Area of a Rhombus

  1. #1
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    Area of a Rhombus

    What is the area of a rhombus when the only given information is it's perimeter?
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  2. #2
    Member pflo's Avatar
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    Quote Originally Posted by BrendanLoftus View Post
    What is the area of a rhombus when the only given information is it's perimeter?
    There are four congruent sides to a rhombus, so each side is one-quarter of the perimeter. Divide the perimeter by 4 and you've got the length of each side.

    The area is base*height, but you can't know what the height is without knowing how much of a slant the thing is at compared to a square.
    Last edited by pflo; May 27th 2010 at 06:40 PM. Reason: Oops. I was wrong!! What was I thinking!?!
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  3. #3
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    Hello, BrendanLoftus!

    There are a brizillion answers.
    More information is needed.


    What is the area of a rhombus when the only given information is its perimeter?

    Since a rhombus is equilateral, each side is: . x \:=\:\tfrac{1}{4}\text{(perimeter)}

    But the area can range from 0\text{ to }x^2.



    Code:
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        A o = = = = o = = = = o C
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            B o - - - - o C
             /         /
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        A o - - - - o D
               x
    
    
    
        B o - - - - o C
          |         |
        x |         |
          |         |
          |         |
        A o - - - - o D
               x
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