document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1124653>Question 1124653</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A piece of wire is shaped to enclose an equilateral triangle whose area is 27.71cm^2. It is then reshaped to enclose a rectangle whose length is 9cm., find the area of the rectangle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #740986 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=740986\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the area of the equilateral triangle is 27.71 square centimeters.\r<BR>\n" );
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document.write( "the formula for the area of an equilateral triangle is A = sqrt(3) / 4 * S^2, where S is the side of the equilateral triangle.\r<BR>\n" );
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document.write( "this formula becomes 27.71 = sqrt(3) / 4 * S^2\r<BR>\n" );
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document.write( "solve for S to get S = sqrt(27.71 * 4 / sqrt(3)) = 7.99959398.\r<BR>\n" );
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document.write( "that's the length of one side of the triangle.\r<BR>\n" );
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document.write( "the perimeter of the triangle is 3 times that = 23.99878194.\r<BR>\n" );
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document.write( "that's the length of the wire that was used to shape the triangle.\r<BR>\n" );
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document.write( "the length of the rectangle is 9.\r<BR>\n" );
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document.write( "the formula for the perimeter of the rectangle is 2 * (L + W) = 23.99878194.\r<BR>\n" );
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document.write( "divide both sides of that equation by 2 to get L + W = 23.99878194 / 2 = 11.99939097.\r<BR>\n" );
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document.write( "since L = 9, W must be equal to 11.99939097 minus 9 = 2.999390969.\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "L = 9<BR>\n" );
document.write( "W = 2.999390969\r<BR>\n" );
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document.write( "the area of the rectangle is equal to L * W = 9 * 2.999390969 = 26.99451872 square centimeters.\r<BR>\n" );
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