document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=708791>Question 708791</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the smallest possible length for a diagonal of a rectangle with a perimeter of 10 feet. \r<BR>\n" );
document.write( "\n" );
document.write( "Is there a second way of solving this problem? If so, please show </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436258 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=436258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A semester-1 Calculus problem.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x, length in one direction<BR>\n" );
document.write( "y, length in other direction\r<BR>\n" );
document.write( "\n" );
document.write( "h, length of diagonal\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=%28x%5E2%2By%5E2%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"h=%28x%5E2%2By%5E2%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "perimeter is 2(x+y)<BR>\n" );
document.write( "perimeter is a constant, 10 feet:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x%2By%29=10 ALIGN=MIDDLE  ALT=\"2%28x%2By%29=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "IDEA: Use perimeter equation and solve it for y.  Substitute this into the diagonal equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29=10%2F2 ALIGN=MIDDLE  ALT=\"%28x%2By%29=10%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5-x ALIGN=MIDDLE  ALT=\"y=5-x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=%28x%5E2%2By%5E2%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"h=%28x%5E2%2By%5E2%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=%28x%5E2%2B%285-x%29%5E2%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"h=%28x%5E2%2B%285-x%29%5E2%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2B%2825-10x%2Bx%5E2%29%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%2B%2825-10x%2Bx%5E2%29%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=%282x%5E2-10x%2B25%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"h=%282x%5E2-10x%2B25%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This last formula or function, you want to see if you can find the minimum, if possible.  Find the derivative and see about setting it equal to zero and this might help. (The function does in fact have a minimum.)  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );