document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924768>Question 924768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The are of a rectangle is 400cm^2. If the length of one of its sides is \"x\"cm, express the length of the other side and hence the perimeter in terms of X. Find the value of X which makes the perimeter a minimum.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #561074 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=561074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ...perimeter a minimum?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2y=p ALIGN=MIDDLE  ALT=\"2x%2B2y=p\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=400 ALIGN=MIDDLE  ALT=\"xy=400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If \"one of the sides\" is x, then the other side is y. LOWER-CASE x; switching case level is incorrect unless you have a specific reason for using both case levels.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=400%2Fx ALIGN=MIDDLE  ALT=\"y=400%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28400%2Fx%29%2B2x=p ALIGN=MIDDLE  ALT=\"2%28400%2Fx%29%2B2x=p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=800%2Fx%2B2x%29 ALIGN=MIDDLE  ALT=\"highlight%28p=800%2Fx%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You want to know for what value of x will p be the minimum.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=800%2Fx%2B2x%2Ax%2Fx ALIGN=MIDDLE  ALT=\"p=800%2Fx%2B2x%2Ax%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%28800%2B2x%5E2%29%2Fx ALIGN=MIDDLE  ALT=\"p=%28800%2B2x%5E2%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This seems not to help.  Going back to the red-outlined formula for p, the use of derivative should be useful, since I cannot right now think of a less advanced way.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dp%2Fdx=%28-1%29800x%5E%28-2%29%2B2 ALIGN=MIDDLE  ALT=\"dp%2Fdx=%28-1%29800x%5E%28-2%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dp%2Fdx=2-800%2Fx%5E2 ALIGN=MIDDLE  ALT=\"dp%2Fdx=2-800%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Max or Min?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282-800%2Fx%5E2=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%282-800%2Fx%5E2=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=800%2Fx%5E2 ALIGN=MIDDLE  ALT=\"2=800%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ax%5E2=800 ALIGN=MIDDLE  ALT=\"2%2Ax%5E2=800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=400 ALIGN=MIDDLE  ALT=\"x%5E2=400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=20%29 ALIGN=MIDDLE  ALT=\"highlight%28x=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Is this x for a maximum or a minimum?<BR>\n" );
document.write( "Letting the technology show us,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-4%2C35%2C-4%2C450%2C800%2Fx%2B2x%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-4%2C35%2C-4%2C450%2C800%2Fx%2B2x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Indicates that perimeter has a minumum.  The value there for the min perimeter should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=800%2F20%2B2%2A20 ALIGN=MIDDLE  ALT=\"p=800%2F20%2B2%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=40%2B40=highlight%2880%29 ALIGN=MIDDLE  ALT=\"p=40%2B40=highlight%2880%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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