document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1188435>Question 1188435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular playing field with a perimeter of 120 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #819515 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=819515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular playing field with a perimeter of 120 meters is to have an area of at least 500 square meters. Within what bounds must the length of the rectangle lie?<BR>\n" );
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document.write( "10 by 50 ---> 500<BR>\n" );
document.write( "30 by 30 ---> 900, the max<BR>\n" );
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document.write( "The long version:<BR>\n" );
document.write( "P = 2W + 2L = 120<BR>\n" );
document.write( "W + L = 60<BR>\n" );
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document.write( "W*L >= 500<BR>\n" );
document.write( "W*(60 - W) >= 500<BR>\n" );
document.write( "W^2 - 60W + 500 >= 0<BR>\n" );
document.write( "(W - 10)*(W - 50) >= 0<BR>\n" );
document.write( "W >= 10<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );