document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971355>Question 971355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am building a fence to keep two dogs separated. I have 600 feet of fence. I can build a circular pen, which I will divide with a diameter giving each dog the equal amount of space or I can build a square pen and divide it diagonally giving each dog equal space. Show the solution of each formation and provide a labeled diagram and the algebra leading to the solution and determine which fence I should build </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593861 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=593861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The tougher shape to analyze is the circle with the diameter.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "r, the radius.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2pi%2Ar%2B2r=600 ALIGN=MIDDLE  ALT=\"2pi%2Ar%2B2r=600\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%2Br=300 ALIGN=MIDDLE  ALT=\"pi%2Ar%2Br=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%281%2Bpi%29=300 ALIGN=MIDDLE  ALT=\"r%281%2Bpi%29=300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28r=300%2F%28pi%2B1%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28r=300%2F%28pi%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----radius for the circle.<BR>\n" );
document.write( "Each run has almost then a max length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F%28pi%2B1%29=144%2Afeet ALIGN=MIDDLE  ALT=\"600%2F%28pi%2B1%29=144%2Afeet\"   DISABLED_style= \"max-width:90%; height:auto;\" >, although the area might be more important.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The square shape with diagonal:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2Bsqrt%282x%5E2%29=600 ALIGN=MIDDLE  ALT=\"4x%2Bsqrt%282x%5E2%29=600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2Bx%2Asqrt%282%29=600 ALIGN=MIDDLE  ALT=\"4x%2Bx%2Asqrt%282%29=600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%284%2Bsqrt%282%29%29=600 ALIGN=MIDDLE  ALT=\"x%284%2Bsqrt%282%29%29=600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x=400%2F%284%2Bsqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x=400%2F%284%2Bsqrt%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As the value, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=73.9 ALIGN=MIDDLE  ALT=\"x=73.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > feet.<BR>\n" );
document.write( "The diagonal for this square is a length of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ax%5E2=2%2A%28400%2F%284%2Bsqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"2%2Ax%5E2=2%2A%28400%2F%284%2Bsqrt%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or diagonal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%2873.9%29%5E2%29=73.9%2A2=highlight_green%28147%29 ALIGN=MIDDLE  ALT=\"sqrt%282%2873.9%29%5E2%29=73.9%2A2=highlight_green%28147%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > point something feet.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Which shape for the 600 foot length of material depends on single dimensional length is important or if area is important.  The circle shape, being near the value of the square's diagonal, might be better because of how the curve occurs near the ends of the diameter.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Area Circle,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2Ar%5E2 ALIGN=MIDDLE  ALT=\"pi%2Ar%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Area Square, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax ALIGN=MIDDLE  ALT=\"x%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );