Area of a Rhombus

Apr 2010
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What is the area of a rhombus when the only given information is it's perimeter?
 
Apr 2009
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Albuquerque, NM
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:

Soroban

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May 2006
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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: .\(\displaystyle x \:=\:\tfrac{1}{4}\text{(perimeter)}\)

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



Code:
                B
    A o = = = = o = = = = o C
           x    D    x



        B o - - - - o C
         /         /
        /         / x
       /         /
    A o - - - - o D
           x



    B o - - - - o C
      |         |
    x |         |
      |         |
      |         |
    A o - - - - o D
           x
 
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