document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207295>Question 1207295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A veterinarian wishes to use 156 feet of chain-link fencing to enclose a rectangular region and subdivide the region into two smaller rectangular regions, as shown in the following figure. If the total enclosed area is 864 square feet, find the width w and length l of the enclosed region.\r<BR>\n" );
document.write( "\n" );
document.write( "w = ft (smaller width) by l = ft<BR>\n" );
document.write( "w = ft (larger width) by l = ft  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845081 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "Set up an equation for the perimeter using the total length of the fencing and the variables representing the width and length of the region.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2%28l%2Bw%29 ALIGN=MIDDLE  ALT=\"P=2%28l%2Bw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if a veterinarian wishes to use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=156 ALIGN=MIDDLE  ALT=\"156\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet of chain-link fencing , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=156ft ALIGN=MIDDLE  ALT=\"P=156ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=156=2%28l%2Bw%29 ALIGN=MIDDLE  ALT=\"156=2%28l%2Bw%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l%2Bw=156%2F2 ALIGN=MIDDLE  ALT=\"l%2Bw=156%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l%2Bw=78 ALIGN=MIDDLE  ALT=\"l%2Bw=78\"   DISABLED_style= \"max-width:90%; height:auto;\" >...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=78-w ALIGN=MIDDLE  ALT=\"l=78-w\"   DISABLED_style= \"max-width:90%; height:auto;\" >......eq.1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if the total enclosed area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=864ft%5E2 ALIGN=MIDDLE  ALT=\"864ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l%2Aw=864 ALIGN=MIDDLE  ALT=\"l%2Aw=864\"   DISABLED_style= \"max-width:90%; height:auto;\" >....substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2878-w%29w=864 ALIGN=MIDDLE  ALT=\"%2878-w%29w=864\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=78w-w%5E2=864 ALIGN=MIDDLE  ALT=\"78w-w%5E2=864\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=w%5E2-78w%2B864 ALIGN=MIDDLE  ALT=\"0=w%5E2-78w%2B864\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "using quadratic formula we get\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+3+%2813+%2B+sqrt%2873%29%29=64.63 ALIGN=MIDDLE  ALT=\"w+=+3+%2813+%2B+sqrt%2873%29%29=64.63\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>larger width<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+3%2813+-+sqrt%2873%29%29=13.37 ALIGN=MIDDLE  ALT=\"w+=+3%2813+-+sqrt%2873%29%29=13.37\"   DISABLED_style= \"max-width:90%; height:auto;\" > =>smaller width\r<BR>\n" );
document.write( "\n" );
document.write( "calculate the lengths\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=78-64.63=13.37 ALIGN=MIDDLE  ALT=\"l=78-64.63=13.37\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=78-13.37=64.63 ALIGN=MIDDLE  ALT=\"l=78-13.37=64.63\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "answer:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=13.37ft ALIGN=MIDDLE  ALT=\"w=13.37ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > (smaller width) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=64.63ft ALIGN=MIDDLE  ALT=\"l=64.63ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=64.63ft ALIGN=MIDDLE  ALT=\"w=64.63ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > (lager width) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=13.37ft ALIGN=MIDDLE  ALT=\"l=13.37ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );