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 #845082 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845082\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The lengths of fencing are the width 3 times and the length 2 times; the total is 156 feet: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w%2B2l=156 ALIGN=MIDDLE  ALT=\"3w%2B2l=156\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The area of 864 square feet is length times width: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lw=864 ALIGN=MIDDLE  ALT=\"lw=864\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve the first equation for the width w and substitute in the second equation.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w=156-2l ALIGN=MIDDLE  ALT=\"3w=156-2l\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28156-2l%29%2F3 ALIGN=MIDDLE  ALT=\"w=%28156-2l%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l%28%28156-2l%29%2F3%29=864 ALIGN=MIDDLE  ALT=\"l%28%28156-2l%29%2F3%29=864\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=156l-2l%5E2=2592 ALIGN=MIDDLE  ALT=\"156l-2l%5E2=2592\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2l%5E2-156l%2B2592=0 ALIGN=MIDDLE  ALT=\"2l%5E2-156l%2B2592=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l%5E2-78l%2B1296=0 ALIGN=MIDDLE  ALT=\"l%5E2-78l%2B1296=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28l-24%29%28l-54%29=0 ALIGN=MIDDLE  ALT=\"%28l-24%29%28l-54%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=24 ALIGN=MIDDLE  ALT=\"l=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=54 ALIGN=MIDDLE  ALT=\"l=54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=24 ALIGN=MIDDLE  ALT=\"l=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28156-48%29%2F3=36 ALIGN=MIDDLE  ALT=\"w=%28156-48%29%2F3=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "First solution: length 24, width 36<BR>\n" );
document.write( "CHECK: 24*36=864; 3(36)+2(24)=108+48=156<br><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=54 ALIGN=MIDDLE  ALT=\"l=54\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=%28156-108%29%2F3=16 ALIGN=MIDDLE  ALT=\"w=%28156-108%29%2F3=16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Second solution: length 54, width 16<BR>\n" );
document.write( "CHECK: 54*16=864; 3(16)+2(54)=48+108=156<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "(1) width 36, length 24<BR>\n" );
document.write( "(2) width 16, length 54<br><BR>\n" );
document.write( " </SPAN>\n" );
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