document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106776>Question 106776</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1932856250/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The question in the book reads \"A piece of wire 20 inches long is to be cut into two pieces, one of which will be bent into a circle and the other into a square. How long should each piece be to minimize the sum of the areas?\".  So one section of the wire could be represented as \"x\" and the other piece as \"20-x\".  That's all I can come up with.  Any help would be greatly appreciated!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77708 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> good start ... let x=circle, so 20-x=square\r<BR>\n" );
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document.write( "x is circumference, so radius is x/2pi and area is x^2/4pi\r<BR>\n" );
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document.write( "20-x is perimeter, so side is (20-x)/4 and area is ((20-x)^2)/16 ... (400-40x+x^20/16\r<BR>\n" );
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document.write( "sum of areas is ((4+pi)/16)x^2-2.5x+25\r<BR>\n" );
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document.write( "minimum is on the axis of symmetry (x=-b/2a) </SPAN>\n" );
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