document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872732>Question 872732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle yard with an area of 50 m squared is to be fenced on three sides. minimizing the perimeter will minimize the cost of the fence. conduct an investigation to determine the shape of the yard with minimum perimeter. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526378 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=526378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Wanting the minimum perimeter, <BR>\n" );
document.write( "dimensions x and y<BR>\n" );
document.write( "xy=50 and p=2x+2y;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=50%2Fx ALIGN=MIDDLE  ALT=\"y=50%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so substituting, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=2x%2B2%2850%2Fx%29 ALIGN=MIDDLE  ALT=\"p=2x%2B2%2850%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we have no way to distinguish between x and y.  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p=2x%2B100%2Fx%29 ALIGN=MIDDLE  ALT=\"highlight%28p=2x%2B100%2Fx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%282x%5E2%2B100%29%2Fx ALIGN=MIDDLE  ALT=\"p=%282x%5E2%2B100%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the minimum seems to occur near x=7, using a graphing program.\r<BR>\n" );
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document.write( "Also, using derivative of p with x,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-100%2Ax%5E%28-2%29=0 ALIGN=MIDDLE  ALT=\"2-100%2Ax%5E%28-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=100%2Fx%5E2 ALIGN=MIDDLE  ALT=\"2=100%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=x%5E2%2F100=1%2F2 ALIGN=MIDDLE  ALT=\"x%5E2%2F100=1%2F2\"   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=100%2F2 ALIGN=MIDDLE  ALT=\"x%5E2=100%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%2850%29 ALIGN=MIDDLE  ALT=\"x=sqrt%2850%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%282%2A5%2A5%29 ALIGN=MIDDLE  ALT=\"x=sqrt%282%2A5%2A5%29\"   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=5sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=5sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is approx. 7.07107<BR>\n" );
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document.write( "The y value would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2F%285sqrt%282%29%29=10%2Fsqrt%282%29=10sqrt%282%29%2F2=highlight%285sqrt%282%29%29 ALIGN=MIDDLE  ALT=\"50%2F%285sqrt%282%29%29=10%2Fsqrt%282%29=10sqrt%282%29%2F2=highlight%285sqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is the same value as x. </SPAN>\n" );
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