document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=317038>Question 317038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the dimensions of a rectangle of area 225 square centimeters that has the least perimeter.  What is the perimeter?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #227009 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=227009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For a rectangle, the area is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=L%2AW=225 ALIGN=MIDDLE  ALT=\"A=L%2AW=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the perimeter is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2%28L%2BW%29 ALIGN=MIDDLE  ALT=\"P=2%28L%2BW%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From the area equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=225%2FW ALIGN=MIDDLE  ALT=\"L=225%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute into the P equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2%28225%2FW%2BW%29=450%2FW%2B2W ALIGN=MIDDLE  ALT=\"P=2%28225%2FW%2BW%29=450%2FW%2B2W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now P is a function of only one variable.<BR>\n" );
document.write( "Take the derivative and set it equal to zero to find extrema.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dP%2FdW=-450%2FW%5E2%2B2=0 ALIGN=MIDDLE  ALT=\"dP%2FdW=-450%2FW%5E2%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=450%2FW%5E2=2 ALIGN=MIDDLE  ALT=\"450%2FW%5E2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2=450%2F2=225 ALIGN=MIDDLE  ALT=\"W%5E2=450%2F2=225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=15 ALIGN=MIDDLE  ALT=\"W=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=225%2F15=15 ALIGN=MIDDLE  ALT=\"L=225%2F15=15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The rectangle with the minimum perimeter is a square with side 15 cm.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=4s=4%2815%29 ALIGN=MIDDLE  ALT=\"P=4s=4%2815%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%28P=60%29 ALIGN=MIDDLE  ALT=\"highlight%28P=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cm. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );