document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097710>Question 1097710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular field with an area of 8000m^ is enclosed by 400m of fencing. Determine the dimensions of the field to the nearest tenth of a metre. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #712120 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=712120\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+ ALIGN=MIDDLE  ALT=\"+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the width of the field<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+ ALIGN=MIDDLE  ALT=\"+L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the length of the field<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2L+%2B+2W+=+400+ ALIGN=MIDDLE  ALT=\"+2L+%2B+2W+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2L+=+400+-+2W+ ALIGN=MIDDLE  ALT=\"+2L+=+400+-+2W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+200+-+W+ ALIGN=MIDDLE  ALT=\"+L+=+200+-+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Now I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W%2A%28+200+-+W+%29+=+8000+ ALIGN=MIDDLE  ALT=\"+W%2A%28+200+-+W+%29+=+8000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-W%5E2+%2B+200W+-+8000+=+0+ ALIGN=MIDDLE  ALT=\"+-W%5E2+%2B+200W+-+8000+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use qudratic formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+-b+%2B-sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+W+=+%28+-b+%2B-sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-1+ ALIGN=MIDDLE  ALT=\"+a+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+200+ ALIGN=MIDDLE  ALT=\"+b+=+200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-8000+ ALIGN=MIDDLE  ALT=\"+c+=+-8000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+-200+%2B-sqrt%28+40000+-+4%2A%28-1%29%2A%28-8000%29+%29%29%2F%282%2A%28-1%29%29+ ALIGN=MIDDLE  ALT=\"+W+=+%28+-200+%2B-sqrt%28+40000+-+4%2A%28-1%29%2A%28-8000%29+%29%29%2F%282%2A%28-1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+-200+%2B-sqrt%28+40000+-+32000+%29%29%2F%28-2%29+ ALIGN=MIDDLE  ALT=\"+W+=+%28+-200+%2B-sqrt%28+40000+-+32000+%29%29%2F%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+-200+%2B-sqrt%28+8000+%29+%29+%2F%28-2%29+ ALIGN=MIDDLE  ALT=\"+W+=+%28+-200+%2B-sqrt%28+8000+%29+%29+%2F%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+-200+%2B+89.443+%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+W+=+%28+-200+%2B+89.443+%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This solution doesn't work since you end up with negative answer, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+-200+-+89.443+%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+W+=+%28+-200+-+89.443+%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+%28+-289.443+%29+%2F+%28-2%29+ ALIGN=MIDDLE  ALT=\"+W+=+%28+-289.443+%29+%2F+%28-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+144.7+ ALIGN=MIDDLE  ALT=\"+W+=+144.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+200+-+W+ ALIGN=MIDDLE  ALT=\"+L+=+200+-+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+200+-+144.7+ ALIGN=MIDDLE  ALT=\"+L+=+200+-+144.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+55.3+ ALIGN=MIDDLE  ALT=\"+L+=+55.3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The field is 55.3 by 144.7<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Check answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%2AW+=+8000+ ALIGN=MIDDLE  ALT=\"+L%2AW+=+8000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+55.3%2A144.7+=+8000+ ALIGN=MIDDLE  ALT=\"+55.3%2A144.7+=+8000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8001.91+=+8000+ ALIGN=MIDDLE  ALT=\"+8001.91+=+8000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Error due to rounding off, think<BR>\n" );
document.write( "also:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2W+%2B+2L+=+400+ ALIGN=MIDDLE  ALT=\"+2W+%2B+2L+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2A144.7+%2B+2%2A55.3+=+400+ ALIGN=MIDDLE  ALT=\"+2%2A144.7+%2B+2%2A55.3+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+289.4+%2B+110.6+=+400+ ALIGN=MIDDLE  ALT=\"+289.4+%2B+110.6+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+400+=+400+ ALIGN=MIDDLE  ALT=\"+400+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );