document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030271>Question 1030271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider a square and a regular hexagon (a six-sided figure with sides of equal length).  One side of the square is 12 feet longer than a side of the hexagon, and the two figures have the same perimeter. What are the lengths of the sides of each figure? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645159 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "Make the side of the hexagon = x<BR>\n" );
document.write( "Side of square = x + 12<BR>\n" );
document.write( "Both figures have the same perimeters.<BR>\n" );
document.write( "4(x + 12) = 6(x)<BR>\n" );
document.write( "4x + 48 = 6x<BR>\n" );
document.write( "Collect like terms:<BR>\n" );
document.write( "6x - 4x = 48<BR>\n" );
document.write( "2x = 48<BR>\n" );
document.write( "x = 24<BR>\n" );
document.write( "Length of hexagon side = 24 feet<BR>\n" );
document.write( "Length of square side = 36 feet<BR>\n" );
document.write( "Hope this helps :-)  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );