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 #740983 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=740983\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let s be the length of a side of the equilateral triangle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "area of equilateral triangle in terms of s is<BR>\n" );
document.write( ": <BR>\n" );
document.write( "Area = s^2 * square root(3)/4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Note this formula comes from the fact that the base is s/2 and height = s * square root(3)/2 for an equilateral triangle<BR>\n" );
document.write( ":<BR>\n" );
document.write( "27.71 = s^2 * square root(3)/4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s^2 = (4 * 27.27)/square root(3) = 62.9774<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s = square root(62.9774) is approximately 7.94 cm<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Perimeter of the equilateral triangle is 3 * 7.94 = 23.82 cm  <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Perimeter of rectangle is 2l + 2w where l is length and w is width<BR>\n" );
document.write( ":<BR>\n" );
document.write( "we are given that l=9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2(9) +2w = 23.82<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2w = 23.82 -18 = 5.82<BR>\n" );
document.write( ":<BR>\n" );
document.write( "w = 2.91 cm<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area of rectangle(A) = l * w<BR>\n" );
document.write( ":<BR>\n" );
document.write( "*************************<BR>\n" );
document.write( "A = 9 * 2.91 = 26.19 cm^2<BR>\n" );
document.write( "*************************<BR>\n" );
document.write( ": </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );