document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=806024>Question 806024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the dimensions of a rug whose perimeter is 42 ft and area is 108 sq.ft. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485628 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=485628\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=42ft ALIGN=MIDDLE  ALT=\"P=42ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > and \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=108ft%5E2 ALIGN=MIDDLE  ALT=\"A=108ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2L%2B2W ALIGN=MIDDLE  ALT=\"P=2L%2B2W\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=LW ALIGN=MIDDLE  ALT=\"A=LW\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=length ALIGN=MIDDLE  ALT=\"L=length\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=width ALIGN=MIDDLE  ALT=\"W=width\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42ft=2L%2B2W ALIGN=MIDDLE  ALT=\"42ft=2L%2B2W\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=108ft%5E2=LW ALIGN=MIDDLE  ALT=\"108ft%5E2=LW\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.2<BR>\n" );
document.write( "________________________________solve this system\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42ft=2L%2B2W ALIGN=MIDDLE  ALT=\"42ft=2L%2B2W\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........eq.1........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" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42ft-2W=2L+ ALIGN=MIDDLE  ALT=\"42ft-2W=2L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42ft%2F2-2W%2F2=L+ ALIGN=MIDDLE  ALT=\"42ft%2F2-2W%2F2=L+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21ft-W=L+ ALIGN=MIDDLE  ALT=\"21ft-W=L+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.1a.......substitute in eq.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=108ft%5E2=%2821ft-W%29W ALIGN=MIDDLE  ALT=\"108ft%5E2=%2821ft-W%29W\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........eq.2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=108ft%5E2=21Wft-W%5E2 ALIGN=MIDDLE  ALT=\"108ft%5E2=21Wft-W%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-21Wft%2B108ft%5E2=0 ALIGN=MIDDLE  ALT=\"W%5E2-21Wft%2B108ft%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >......factor<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-12Wft-9Wft%2B108ft%5E2=0 ALIGN=MIDDLE  ALT=\"W%5E2-12Wft-9Wft%2B108ft%5E2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >........group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%5E2-12Wft%29-%289Wft-108ft%5E2%29=0 ALIGN=MIDDLE  ALT=\"%28W%5E2-12Wft%29-%289Wft-108ft%5E2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%28W-12ft%29-9ft%28W-12ft%29=0 ALIGN=MIDDLE  ALT=\"W%28W-12ft%29-9ft%28W-12ft%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-12ft%29%28W-9ft%29+=+0 ALIGN=MIDDLE  ALT=\"%28W-12ft%29%28W-9ft%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-12ft%29++=+0 ALIGN=MIDDLE  ALT=\"%28W-12ft%29++=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=12ft ALIGN=MIDDLE  ALT=\"W=12ft\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28W-9ft%29+=+0 ALIGN=MIDDLE  ALT=\"+%28W-9ft%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >==><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W=9ft ALIGN=MIDDLE  ALT=\"+W=9ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find the length\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21ft-W=L+ ALIGN=MIDDLE  ALT=\"21ft-W=L+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.1a ==><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=12ft ALIGN=MIDDLE  ALT=\"W=12ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21ft-12ft=L+ ALIGN=MIDDLE  ALT=\"21ft-12ft=L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9ft=L+ ALIGN=MIDDLE  ALT=\"9ft=L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21ft-W=L+ ALIGN=MIDDLE  ALT=\"21ft-W=L+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....eq.1a ==><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=9ft ALIGN=MIDDLE  ALT=\"W=9ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21ft-9ft=L+ ALIGN=MIDDLE  ALT=\"21ft-9ft=L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12ft=L+ ALIGN=MIDDLE  ALT=\"12ft=L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "so, the dimensions of a rug are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=12ft++ ALIGN=MIDDLE  ALT=\"L=12ft++\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=9ft ALIGN=MIDDLE  ALT=\"W=9ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > or vs<BR>\n" );
document.write( " </SPAN>\n" );
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