document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054244>Question 1054244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cindy wants to construct five rectangular dog training areas side by side, using a total of 600 ft of fencing. What should the overall width and length be to maximize the area of the five combined areas? What are the dimensions of each individual arena? What's the area of each arena? \r<BR>\n" );
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document.write( "I don't understand how to do the set up\r<BR>\n" );
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document.write( "Thanks! \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669469 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=669469\">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 sum of the 5 <BR>\n" );
document.write( "sides  of the 5 rectangles.<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the short side of<BR>\n" );
document.write( "the 5 combined rectangles<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+2y+=+600+ ALIGN=MIDDLE  ALT=\"+2x+%2B+2y+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the \"outside \"<BR>\n" );
document.write( "perimeter. I need to add in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4y+ ALIGN=MIDDLE  ALT=\"+4y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "for the internal sides of the 5 areas<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+2y+%2B+4y+=+600+ ALIGN=MIDDLE  ALT=\"+2x+%2B+2y+%2B+4y+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+%2B+6y+=+600+ ALIGN=MIDDLE  ALT=\"+2x+%2B+6y+=+600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+3y+=+300+ ALIGN=MIDDLE  ALT=\"+x+%2B+3y+=+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The formula for area is:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+x%2Ay+ ALIGN=MIDDLE  ALT=\"+A+=+x%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+300+-+3y+ ALIGN=MIDDLE  ALT=\"+x+=+300+-+3y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plug this into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+%28+300+-+3y+%29%2Ay+ ALIGN=MIDDLE  ALT=\"+A+=+%28+300+-+3y+%29%2Ay+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+-3y%5E2+%2B+300y+ ALIGN=MIDDLE  ALT=\"+A+=+-3y%5E2+%2B+300y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a parabola with a positive peak<BR>\n" );
document.write( "The y-value of the peak is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+y%5Bmax%5D+=+-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=+y%5Bmax%5D+=+-300%2F%28+2%2A%28-3%29+%29+ ALIGN=MIDDLE  ALT=\"+y%5Bmax%5D+=+-300%2F%28+2%2A%28-3%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=+y%5Bmax%5D+=+50+ ALIGN=MIDDLE  ALT=\"+y%5Bmax%5D+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+3y+=+300+ ALIGN=MIDDLE  ALT=\"+x+%2B+3y+=+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+3%2A50+=+300+ ALIGN=MIDDLE  ALT=\"+x+%2B+3%2A50+=+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+300+-+150+ ALIGN=MIDDLE  ALT=\"+x+=+300+-+150+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+150+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+150+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "-------------------------<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%5Bmax%5D+=+x%5Bmax%5D%2Ay%5Bmax%5D+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+x%5Bmax%5D%2Ay%5Bmax%5D+\"   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+=+150%2A50+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+150%2A50+\"   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+=+7500+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+7500+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft2<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "The overall dimesions are:<BR>\n" );
document.write( "50 x 150 <BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "The dimensions of the individual areas are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2F5+ ALIGN=MIDDLE  ALT=\"+x%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > x <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+150%2F5+ ALIGN=MIDDLE  ALT=\"+150%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > x <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50+ ALIGN=MIDDLE  ALT=\"+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "30 x 50<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Hope this is understandable & I got it right!\r<BR>\n" );
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