document.write( "Question 1073507: A square and an equilateral triangle have equal perimeters. The area of the triangle is 8 square root of 3 sq. in. Determine the length of the diagonal of the square. \n" ); document.write( "
Algebra.Com's Answer #688321 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
One side of the equilateral triangle, 2x.
\n" ); document.write( "Area, \"x%5E2%2Asqrt%283%29\".
\n" ); document.write( "Area of the triangle given, \"8sqrt%283%29=x%5E2%2Asqrt%283%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=2sqrt%282%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x=4sqrt%282%29\", one whole side of the equilateral triangle.
\n" ); document.write( "Perimeter of both figures: \"12sqrt%282%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "One side of the square of same perimeter is one quarter of that:
\n" ); document.write( "side of square, \"3sqrt%282%29\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Diagonal of the square:
\n" ); document.write( "\"sqrt%28%289%2A2%29%5E2%2B%289%2A2%29%5E2%29\"
\n" ); document.write( "\"sqrt%2818%2B18%29\"
\n" ); document.write( "\"sqrt%2836%29\"
\n" ); document.write( "\"highlight%28diagonal=6%29\"
\n" ); document.write( "
\n" );