document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141838>Question 1141838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle.\r<BR>\n" );
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document.write( "(a) How much of the wire should go to the square to maximize the total area enclosed by both figures?  \r<BR>\n" );
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document.write( "(b) How much of the wire should go to the square to minimize the total area enclosed by both figures?  <BR>\n" );
document.write( "I got 11.201m for this<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762488 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</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=762488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A way to start is like this:<BR>\n" );
document.write( "x, the amount to make the square<BR>\n" );
document.write( "20-x, the amount to make the circle.\r<BR>\n" );
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document.write( "Area of Square:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F4%29%5E2=x%5E2%2F16 ALIGN=MIDDLE  ALT=\"%28x%2F4%29%5E2=x%5E2%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Area of Circle:  circumference with radius r,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2Ar=20-x%7D%7D%0D%0Ameaning+%7B%7B%7Br=%2820-x%29%2F%282pi%29 ALIGN=MIDDLE  ALT=\"2pi%2Ar=20-x%7D%7D%0D%0Ameaning+%7B%7B%7Br=%2820-x%29%2F%282pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--<BR>\n" );
document.write( "Area of this part, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820-x%29%5E2%2F%284pi%29 ALIGN=MIDDLE  ALT=\"%2820-x%29%5E2%2F%284pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A, the total area of combined square and circle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28A=x%5E2%2F16%2B%2820-x%29%5E2%2F%284pi%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28A=x%5E2%2F16%2B%2820-x%29%5E2%2F%284pi%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This function is what you want to find the minimum for.   \r<BR>\n" );
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document.write( "The differentiation and algebraic steps should give <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28dA%2Fdx=%28%288%2Bpi%29x-160%29%2F%288pi%29=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28dA%2Fdx=%28%288%2Bpi%29x-160%29%2F%288pi%29=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and solving for x should be no trouble. </SPAN>\n" );
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