document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102929>Question 102929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pls help me with this. It's really hard!!<BR>\n" );
document.write( "A farmer wants to make a rectangular garden of 7500 square meters, and she has 250 meters of fencing material. There is already a fence on one side. What dimensions should her garden have?<BR>\n" );
document.write( "I really need some explanation here. Pls help me. thanks.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74857 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK, you have a rectangle of width, W, and length, L. You want a garden that has an area of 7500 square meters. The area of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5Br%5D=L%2AW ALIGN=MIDDLE  ALT=\"A%5Br%5D=L%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Your first equation is :<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2AW=7500 ALIGN=MIDDLE  ALT=\"L%2AW=7500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The total amount of fence you have to work with is 250 meters. But you also know that you don't need one side of the rectangle, one length or one width. Let's pick one length. So the perimeter of your rectangle is :<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=+L+%2B+W+%2B+cross%28L%29%2BW=250 ALIGN=MIDDLE  ALT=\"P=+L+%2B+W+%2B+cross%28L%29%2BW=250\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The length is crossed out since there is already a fence present.Here are your two equations. <BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2AW+=+7500+ ALIGN=MIDDLE  ALT=\"L%2AW+=+7500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+%2B+2%2AW+=+250 ALIGN=MIDDLE  ALT=\"L+%2B+2%2AW+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use equation 1 to solve for L in terms of W and substitute into equation 2. <BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2AW+=+7500+ ALIGN=MIDDLE  ALT=\"L%2AW+=+7500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%2AW%2FW+=+7500%2FW ALIGN=MIDDLE  ALT=\"L%2AW%2FW+=+7500%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiplicative inverse of W. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+7500%2FW ALIGN=MIDDLE  ALT=\"L+=+7500%2FW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use the second equation and your result:\r<BR>\n" );
document.write( "\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+%2B+2%2AW+=+250 ALIGN=MIDDLE  ALT=\"L+%2B+2%2AW+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7500%2FW+%2B+2%2AW+=+250 ALIGN=MIDDLE  ALT=\"7500%2FW+%2B+2%2AW+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2A%287500%2FW+%2B+2%2AW%29+=+250%2AW ALIGN=MIDDLE  ALT=\"W%2A%287500%2FW+%2B+2%2AW%29+=+250%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by W. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7500%2Across%28W%29%2Fcross%28W%29%2B2W%5E2=250%2AW ALIGN=MIDDLE  ALT=\"7500%2Across%28W%29%2Fcross%28W%29%2B2W%5E2=250%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7500%2B2W%5E2-250%2AW=250%2AW-250%2AW ALIGN=MIDDLE  ALT=\"7500%2B2W%5E2-250%2AW=250%2AW-250%2AW\"   DISABLED_style= \"max-width:90%; height:auto;\" >Additive inverse of 250W<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2W%5E2-250%2AW%2B7500=0 ALIGN=MIDDLE  ALT=\"2W%5E2-250%2AW%2B7500=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the quadratic formula to solve for W. <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%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=2 ALIGN=MIDDLE  ALT=\"a=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=-250 ALIGN=MIDDLE  ALT=\"b=-250\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=7500 ALIGN=MIDDLE  ALT=\"c=7500\"   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-%28-250%29+%2B-+sqrt%28+250%5E2-4%2A2%2A7500+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"W+=+%28-%28-250%29+%2B-+sqrt%28+250%5E2-4%2A2%2A7500+%29%29%2F%282%2A2%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+=+%28250+%2B-+sqrt%28+2500+%29%29%2F%284%29+ ALIGN=MIDDLE  ALT=\"W+=+%28250+%2B-+sqrt%28+2500+%29%29%2F%284%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=50 ALIGN=MIDDLE  ALT=\"W=50\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=+75 ALIGN=MIDDLE  ALT=\"W=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=50+m ALIGN=MIDDLE  ALT=\"W=50+m\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <BR>\n" );
document.write( " 2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+%2B+2%2AW+=+250 ALIGN=MIDDLE  ALT=\"L+%2B+2%2AW+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+%2B+2%2A50+=+250 ALIGN=MIDDLE  ALT=\"L+%2B+2%2A50+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+150+m+ ALIGN=MIDDLE  ALT=\"L+=+150+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=75m ALIGN=MIDDLE  ALT=\"W=75m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " 2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+%2B+2%2AW+=+250 ALIGN=MIDDLE  ALT=\"L+%2B+2%2AW+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+%2B+2%2A75+=+250 ALIGN=MIDDLE  ALT=\"L+%2B+2%2A75+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L+=+100+m+ ALIGN=MIDDLE  ALT=\"L+=+100+m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two solutions <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=50m+%3AL=150m ALIGN=MIDDLE  ALT=\"W=50m+%3AL=150m\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=75m+%3AL=100m ALIGN=MIDDLE  ALT=\"W=75m+%3AL=100m\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );