document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109893>Question 1109893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer has 1080 feet of fencing and wants to enclose three adjacent rectangular corrals , if the area of the enclosed rectangle is 36,000 sq. ft., find the dimension of the three enclosed area. length 540-2w and W </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724897 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=724897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I just answered this as problem # 1109885<BR>\n" );
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document.write( "I believe what is meant (but not really clearly specified) is shown in the sketch below:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28340%2C160%2C-20%2C320%2C-20%2C140%2C%0D%0Arectangle%280%2C0%2C300%2C120%29%2Crectangle%28100%2C0%2C200%2C120%29%2C%0D%0Alocate%283%2C65%2CW%29%2Clocate%28103%2C65%2CW%29%2C%0D%0Alocate%28203%2C65%2CW%29%2Clocate%28303%2C65%2CW%29%2C%0D%0Alocate%28114%2C-2%2CL=540-2W%29%2Carrow%28110%2C-10%2C0%2C-10%29%2C%0D%0Aarrow%28190%2C-10%2C300%2C-10%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Numbers/variables below are meant to be lengths in feet and areas in square feet,<BR>\n" );
document.write( "but I am not writing the units repeatedly.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=fencing ALIGN=MIDDLE  ALT=\"fencing\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=length ALIGN=MIDDLE  ALT=\"length\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L%2B4W ALIGN=MIDDLE  ALT=\"2L%2B4W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%22=%22 ALIGN=MIDDLE  ALT=\"%22=%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1080 ALIGN=MIDDLE  ALT=\"1080\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2L=1080-4W ALIGN=MIDDLE  ALT=\"2L=1080-4W\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=%281080-4W%29%2F2 ALIGN=MIDDLE  ALT=\"L=%281080-4W%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=540-2W ALIGN=MIDDLE  ALT=\"L=540-2W\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The total surface area is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36000=%28540-2W%29%2AW ALIGN=MIDDLE  ALT=\"36000=%28540-2W%29%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36000=540W-2W%5E2 ALIGN=MIDDLE  ALT=\"36000=540W-2W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2-540W%2B36000=0 ALIGN=MIDDLE  ALT=\"2W%5E2-540W%2B36000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dividing everything by 2, we get the simplified, equivalent equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-270W%2B18000=0 ALIGN=MIDDLE  ALT=\"W%5E2-270W%2B18000=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factoring to solve that equation, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-150%29%28W-120%29=0 ALIGN=MIDDLE  ALT=\"%28W-150%29%28W-120%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28W=120%2C%22or%22%2CW=150%29 ALIGN=MIDDLE  ALT=\"system%28W=120%2C%22or%22%2CW=150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So, either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28W=120%2CL=36000%2F120%29 ALIGN=MIDDLE  ALT=\"system%28W=120%2CL=36000%2F120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28W=120%2CL=300%29 ALIGN=MIDDLE  ALT=\"system%28W=120%2CL=300%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28W=150%2CL=36000%2F150%29 ALIGN=MIDDLE  ALT=\"system%28W=150%2CL=36000%2F150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28W=150%2CL=240%29 ALIGN=MIDDLE  ALT=\"system%28W=150%2CL=240%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That gives us two possible answers for the dimensions of \"the whole enclosed rectangle.\"<BR>\n" );
document.write( "Either the whole enclosed area is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120ft ALIGN=MIDDLE  ALT=\"120ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > wide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300ft ALIGN=MIDDLE  ALT=\"300ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > long, or  it is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150ft ALIGN=MIDDLE  ALT=\"150ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > wide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240ft ALIGN=MIDDLE  ALT=\"240ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > long. </SPAN>\n" );
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