document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=623197>Question 623197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a particular regular hexagon is x^3 square units, where x is the measure of the distance from the center of the hexagon to the midpoint of a side.  What is the side length of the hexagon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391933 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of a regular polygon is given by:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29%2AP%2Aa ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29%2AP%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > where P = perimeter and a = the length of the apothem.<BR>\n" );
document.write( "Note: The apothem is the distance from the center to the midpoint of a side.<BR>\n" );
document.write( "In this problem, we'll find the perimeter then divide it by 6 (a regular hexagon has 6 equal sides.)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29%2AP%2Aa ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29%2AP%2Aa\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+x%5E3 ALIGN=MIDDLE  ALT=\"A+=+x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+x ALIGN=MIDDLE  ALT=\"a+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+=+%281%2F2%29%2AP%2Ax ALIGN=MIDDLE  ALT=\"x%5E3+=+%281%2F2%29%2AP%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+%281%2F2%29%2AP ALIGN=MIDDLE  ALT=\"x%5E2+=+%281%2F2%29%2AP\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+=+P ALIGN=MIDDLE  ALT=\"2x%5E2+=+P\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that we have the perimeter, P, we can divide by 6 to find the length of one side, S.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+P%2F6 ALIGN=MIDDLE  ALT=\"S+=+P%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+2x%5E2%2F6 ALIGN=MIDDLE  ALT=\"S+=+2x%5E2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+x%5E2%2F3 ALIGN=MIDDLE  ALT=\"S+=+x%5E2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S+=+%281%2F3%29x%5E2 ALIGN=MIDDLE  ALT=\"S+=+%281%2F3%29x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );