SOLUTION: . Two pieces of wire of equal length are bent, one in the shape of an equilateral triangle and the other in a shape of a square. What is the ratio of the area of the triangle to
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Question 1012379: . Two pieces of wire of equal length are bent, one in the shape of an equilateral triangle and the other in a shape of a square. What is the ratio of the area of the triangle to the area of the square? Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Call the length of the wire, x.
For the square, each side is x/4. Thus its area is .
For the equilateral triangle, each side is x/3. And its area is
If we divide the area of the triangle by the area of the square, we get
The x^2 cancels and leaves us the answer...
