document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977367>Question 977367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Take any wire of length 20 inches. Cut the wire into two pieces such that the sum of the areas of the square and circle formed by the pieces of wire is the minimum.  \r<BR>\n" );
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document.write( "A = Area of square + Area of circle.\r<BR>\n" );
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document.write( "    = (S/4)2 + C2 /4&#960;         where C = 2&#960;r\r<BR>\n" );
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document.write( "1) S + C =____________\r<BR>\n" );
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document.write( "2) A =_______ + _______________   (Write the equation in terms of C.)\r<BR>\n" );
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document.write( "3) Find dA/dC.\r<BR>\n" );
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document.write( "4) Set dA/dC = 0 and solve for C.\r<BR>\n" );
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document.write( "5) Check if A'' is positive. If it is positive, the total area is minimum.\r<BR>\n" );
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document.write( "6) S = ___________  and C =_______________ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #599096 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=599096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A(C)\ =\ \frac{\left(20\ -\ C\right)^2}{16}\ +\ \frac{C^2}{16\pi}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{\text{d}A}{\text{d}C}\ =\ \frac{(\pi\ +\ 1)C\ -\ 20\pi}{8}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{\text{d}^2A}{\text{d}C^2}\ =\ \frac{\pi\ +\ 1}{8\pi}\">\r<BR>\n" );
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document.write( "The steps I left out are trivial; you can finish it for yourself.\r<BR>\n" );
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document.write( "John<BR>\n" );
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document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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