document.write( "Question 990493: what is the ratio of the perimeter of a square and equilateral triangle if areas are the same? \n" ); document.write( "

Algebra.Com's Answer #610523 by Fombitz(32388) $\"\"$ $\"About$

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For a square,
\n" ); document.write( " $\"A%5Bs%5D=s%5E2\"$
\n" ); document.write( " $\"P%5Bs%5D=4s\"$
\n" ); document.write( "For a equilateral triangle,
\n" ); document.write( " $\"A%5Bet%5D=%28sqrt%283%29%2F4%29%29x%5E2\"$
\n" ); document.write( " $\"P%5Bet%5D=3x\"$
\n" ); document.write( "So $\"A%5Bs%5D=A%5Bet%5D\"$
\n" ); document.write( " $\"s%5E2=%28sqrt%283%29%2F4%29x%5E2\"$
\n" ); document.write( " $\"s%5E2%2Fx%5E2=sqrt%283%29%2F4\"$
\n" ); document.write( " $\"%28s%2Fx%29=sqrt%28sqrt%283%29%2F4%29\"$
\n" ); document.write( " $\"%28s%2Fx%29=3%5E%281%2F4%29%2F2\"$
\n" ); document.write( "And,
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