document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #628266 by fractalier(6550) $\"\"$ $\"About$

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Call the length of the wire, x.
\n" ); document.write( "For the square, each side is x/4. Thus its area is $\"x%5E2%2F16\"$ .
\n" ); document.write( "For the equilateral triangle, each side is x/3. And its area is
\n" ); document.write( "

\n" ); document.write( "If we divide the area of the triangle by the area of the square, we get
\n" ); document.write( " $\"%28%28x%5E2%29%2A%28sqrt%283%29%2F36%29%29%2F%28x%5E2%2F16%29\"$
\n" ); document.write( "The x^2 cancels and leaves us the answer...
\n" ); document.write( " $\"4%2Asqrt%283%29%2F9\"$ \n" ); document.write( "

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