document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=941547>Question 941547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmers has 400 feet of fencing to make three rectangular pens. What dimensions x and y will maximize the total area?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574039 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> assume that the three pens are not adjacent:<BR>\n" );
document.write( "assume that each pen needs four complete sides:<BR>\n" );
document.write( "assume that all three pens have the same dimensions:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "length of fencing needed for each pen = 400/3 = 133.333333333 ft<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2x + 2y = 133.333333333<BR>\n" );
document.write( "2y = 133.333333333 - 2x<BR>\n" );
document.write( "y = (133.333333333 - 2x)/2<BR>\n" );
document.write( "y = 133.333333333/2 - x<BR>\n" );
document.write( "y = 66.6666666666 - x<BR>\n" );
document.write( "a = xy<BR>\n" );
document.write( "a = x(66.6666666666 - x)<BR>\n" );
document.write( "a = 66.6666666666x - xx<BR>\n" );
document.write( "-xx + 66.6666666666x = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=-1, b=66.6666666666 and c=0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "-1 66.6666666666 0<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has a vertex maximum at: ( 33.3333333, 1111.11111 )<BR>\n" );
document.write( "---<BR>\n" );
document.write( "area for each pen is maximum (1111.11111 sq.ft) when x = 33.3333333 ft<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "the dimensions of each of the three pens are:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 33.3333333333 ft<BR>\n" );
document.write( "y = 66.6666666666 - x<BR>\n" );
document.write( "y = 66.6666666666 - 33.3333333333<BR>\n" );
document.write( "y = 33.3333333333 ft<BR>\n" );
document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "---<BR>\n" );
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document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );