document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150524>Question 1150524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 500 feet of fencing is available to enclose a rectangular lot along side of highway 65. Cal trans will supply the fencing for the side along the highway, so only 3 sides are needed. What dimensions will produce an area of 40,000 square feet? What is the maximum area that can be enclosed? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771892 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=771892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the side perpendicular to the highway = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w+ ALIGN=MIDDLE  ALT=\"+w+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+500+-+2w+ ALIGN=MIDDLE  ALT=\"+500+-+2w+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the length of the side parallel to the highway<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+ ALIGN=MIDDLE  ALT=\"+A+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the area of the lot<BR>\n" );
document.write( "----------------------------------- <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+w%2A%28+500+-+2w+%29+ ALIGN=MIDDLE  ALT=\"+A+=+w%2A%28+500+-+2w+%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+=+-2w%5E2+%2B+500w+ ALIGN=MIDDLE  ALT=\"+A+=+-2w%5E2+%2B+500w+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use the formula for the vertex:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+w%5Bpk%5D+=+-500%2F%28+2%2A%28-2%29%29+ ALIGN=MIDDLE  ALT=\"+w%5Bpk%5D+=+-500%2F%28+2%2A%28-2%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%5Bpk%5D+=+125+ ALIGN=MIDDLE  ALT=\"+w%5Bpk%5D+=+125+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this result back into equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5Bmax%5D+=+-2%2A%28125%29%5E2+%2B+500%2A125+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+-2%2A%28125%29%5E2+%2B+500%2A125+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A%5Bmax%5D+=+31250+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+31250+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft2<BR>\n" );
document.write( "Since 40000 ft2 is greater than the maximum area<BR>\n" );
document.write( "this can't be enclosed with 500 ft of fencing<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-100%2C+300%2C+-3500%2C+35000%2C+-2x%5E2+%2B+500x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-100%2C+300%2C+-3500%2C+35000%2C+-2x%5E2+%2B+500x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );