document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172995>Question 172995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A hobby gardner wishes to use 81ft of fencing to enclose a rectangular gardner and sub divide region into two smaller areas.  If the total enclosed is 264 ft squared find the dimensions of the enclosed region.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127861 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=127861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A hobby gardner wishes to use 81 ft of fencing to enclose a rectangular gardner and sub divide region into two smaller areas. If the total enclosed is 264 ft squared find the dimensions of the enclosed region. <BR>\n" );
document.write( "-----------------------------------------------------<BR>\n" );
document.write( "Draw the picture of the rectangle with a vertical dividing line to create<BR>\n" );
document.write( "the two smaller areas.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Let the dividing line and 2 parallel sides be of length \"x\" ft.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "That leaves (81-3x) ft. of fencing for the top and the bottom sides.<BR>\n" );
document.write( "Each of those sides will then be (81-3x)/2 ft. in length.<BR>\n" );
document.write( "--------------------------------------------------------------<BR>\n" );
document.write( "The area will be [(81-3x)/2]*x = 265 sq. ft.<BR>\n" );
document.write( "81x - 3x^2 = 530<BR>\n" );
document.write( "3x^2 - 81x + 530 = 0<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "x = [81 +- sqrt(81^2 -4*3*530)]/6\r<BR>\n" );
document.write( "\n" );
document.write( "x = [81 +- sqrt(201)]6\r<BR>\n" );
document.write( "\n" );
document.write( "Positive solution:\r<BR>\n" );
document.write( "\n" );
document.write( "x = [81 + 14.18]/6 ft<BR>\n" );
document.write( "x = 15.86 ft.<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );