document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=662391>Question 662391</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 240 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 2700 square feet.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #412189 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=412189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The perimeter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240ft ALIGN=MIDDLE  ALT=\"240ft\"   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=P=240ft ALIGN=MIDDLE  ALT=\"P=240ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >........1\r<BR>\n" );
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document.write( " the area of the rectangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A ALIGN=MIDDLE  ALT=\"A\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not to exceed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2700ft%5E2 ALIGN=MIDDLE  ALT=\"2700ft%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=A%3C=2700ft%5E2 ALIGN=MIDDLE  ALT=\"A%3C=2700ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >......2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240ft=2%28L%2BW%29 ALIGN=MIDDLE  ALT=\"240ft=2%28L%2BW%29\"   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=240ft%2F2=L%2BW ALIGN=MIDDLE  ALT=\"240ft%2F2=L%2BW\"   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=120ft=L%2BW ALIGN=MIDDLE  ALT=\"120ft=L%2BW\"   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=L=120ft-W ALIGN=MIDDLE  ALT=\"L=120ft-W\"   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=A%3C=2700ft%5E2 ALIGN=MIDDLE  ALT=\"A%3C=2700ft%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=L%2AW%3C=2700ft%5E2 ALIGN=MIDDLE  ALT=\"L%2AW%3C=2700ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >....plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   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=%28120ft-W%29%2AW%3C=2700ft%5E2 ALIGN=MIDDLE  ALT=\"%28120ft-W%29%2AW%3C=2700ft%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=120Wft-W%5E2%3C=2700ft%5E2 ALIGN=MIDDLE  ALT=\"120Wft-W%5E2%3C=2700ft%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%2B120Wft-2700ft%5E2%3C=0 ALIGN=MIDDLE  ALT=\"-W%5E2%2B120Wft-2700ft%5E2%3C=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=+%28-120ft+%2B-+sqrt%28+%28120ft%29%5E2-4%2A%28-1%29%2A%282700ft%5E2%29+%29%29%2F%282%2A-1%29+ ALIGN=MIDDLE   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=+%28-120ft+%2B-+sqrt%28+14400ft%5E2-10800ft%5E2+%29%29%2F-2+ ALIGN=MIDDLE  ALT=\"W=+%28-120ft+%2B-+sqrt%28+14400ft%5E2-10800ft%5E2+%29%29%2F-2+\"   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=+%28-120ft+%2B-+sqrt%283600ft%5E2%29%29%2F-2+ ALIGN=MIDDLE  ALT=\"W=+%28-120ft+%2B-+sqrt%283600ft%5E2%29%29%2F-2+\"   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=+%28-120ft+%2B-+60ft%29%2F-2+ ALIGN=MIDDLE  ALT=\"W=+%28-120ft+%2B-+60ft%29%2F-2+\"   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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+%28-120ft+%2B+60ft%29%2F-2+ ALIGN=MIDDLE  ALT=\"W=+%28-120ft+%2B+60ft%29%2F-2+\"   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=W=+%28-60ft%29%2F-2+ ALIGN=MIDDLE  ALT=\"W=+%28-60ft%29%2F-2+\"   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=highlight%28W=30ft%29+ ALIGN=MIDDLE  ALT=\"highlight%28W=30ft%29+\"   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=W=+%28-120ft+-+60ft%29%2F-2+ ALIGN=MIDDLE  ALT=\"W=+%28-120ft+-+60ft%29%2F-2+\"   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=W=+%28-180ft%29%2F-2+ ALIGN=MIDDLE  ALT=\"W=+%28-180ft%29%2F-2+\"   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=highlight%28W=90ft%29+ ALIGN=MIDDLE  ALT=\"highlight%28W=90ft%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find <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=120ft-W ALIGN=MIDDLE  ALT=\"L=120ft-W\"   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=120ft-30ft ALIGN=MIDDLE  ALT=\"L=120ft-30ft\"   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=highlight%28L=90ft%29 ALIGN=MIDDLE  ALT=\"highlight%28L=90ft%29\"   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=L=120ft-W ALIGN=MIDDLE  ALT=\"L=120ft-W\"   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=120ft-90ft ALIGN=MIDDLE  ALT=\"L=120ft-90ft\"   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=highlight%28L=30ft%29 ALIGN=MIDDLE  ALT=\"highlight%28L=30ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=90ft%29 ALIGN=MIDDLE  ALT=\"highlight%28L=90ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W=30ft%29+ ALIGN=MIDDLE  ALT=\"highlight%28W=30ft%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or vice versa\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%3C=2700ft%5E2 ALIGN=MIDDLE  ALT=\"A%3C=2700ft%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, any length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L%3C=90ft%29 ALIGN=MIDDLE  ALT=\"highlight%28L%3C=90ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > will be the\r<BR>\n" );
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document.write( "possible length of a side\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );