document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=700118>Question 700118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the dimensions of the largest rectangular area you can fence with 150 feet of fencing, if you can use the side of your house for one side?\r<BR>\n" );
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document.write( "side of house dimension is not known </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431663 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=431663\">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=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the length in feet of the<BR>\n" );
document.write( "side parallel to the house.<BR>\n" );
document.write( "The length of each of the other 2 sides is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28150+-+x+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+%28150+-+x+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The area is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+x%2A%28+150+-+x+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+A+=+x%2A%28+150+-+x+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+75x+-+%281%2F2%29%2Ax%5E2+ ALIGN=MIDDLE  ALT=\"+A+=+75x+-+%281%2F2%29%2Ax%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The general form is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+b%2Ax+%2B+a%2Ax%5E2+ ALIGN=MIDDLE  ALT=\"+A+=+b%2Ax+%2B+a%2Ax%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-1%2F2+ ALIGN=MIDDLE  ALT=\"+a+=+-1%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+75+ ALIGN=MIDDLE  ALT=\"+b+=+75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------<BR>\n" );
document.write( "The x-co-ordinate of the vertex is at<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+-b%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=+-b%2F%282a%29+=+-75+%2F+%28+2%2A%28-1%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+-75+%2F+%28+2%2A%28-1%2F2%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=+-b%2F%282a%29+=+75+%2F+1+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+75+%2F+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+75+ ALIGN=MIDDLE  ALT=\"+x+=+75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+150+-+x+%29+%2F+2+=+%28+150+-+75+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+%28+150+-+x+%29+%2F+2+=+%28+150+-+75+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+150+-+x+%29+%2F+2+=+75%2F2+ ALIGN=MIDDLE  ALT=\"+%28+150+-+x+%29+%2F+2+=+75%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the 3 sides are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+75+ ALIGN=MIDDLE  ALT=\"+75+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+75%2F2+ ALIGN=MIDDLE  ALT=\"+75%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+75%2F2+ ALIGN=MIDDLE  ALT=\"+75%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum area is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+75%2A%28+75%2F2+%29+ ALIGN=MIDDLE  ALT=\"+A+=+75%2A%28+75%2F2+%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+=+2812.5+ ALIGN=MIDDLE  ALT=\"+A+=+2812.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft2<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Here's the plot of the area equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-20%2C+160%2C+-300%2C+3200%2C+-%281%2F2%29%2Ax%5E2+%2B+75x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-20%2C+160%2C+-300%2C+3200%2C+-%281%2F2%29%2Ax%5E2+%2B+75x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );