document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058527>Question 1058527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An architect is designing an atrium for a hotel. The atrium is to be rectangular with a perimeter of 688 ft of brass piping. What dimensions will maximize the area of the&#8203; atrium? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673581 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=673581\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Formula for perimeter of rectangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+2W+%2B+2L+ ALIGN=MIDDLE  ALT=\"+P+=+2W+%2B+2L+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+688+ ALIGN=MIDDLE  ALT=\"+P+=+688+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ft<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+688+=+2W+%2B+2L+ ALIGN=MIDDLE  ALT=\"+688+=+2W+%2B+2L+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+344+=+W+%2B+L+ ALIGN=MIDDLE  ALT=\"+344+=+W+%2B+L+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+=+344+-+W+ ALIGN=MIDDLE  ALT=\"+L+=+344+-+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Formula for area of a rectangle:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+W%2AL+ ALIGN=MIDDLE  ALT=\"+A+=+W%2AL+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+W%2A%28+344+-+W+%29+ ALIGN=MIDDLE  ALT=\"+A+=+W%2A%28+344+-+W+%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+=+-W%5E2+%2B+344W+ ALIGN=MIDDLE  ALT=\"+A+=+-W%5E2+%2B+344W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "The formula for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W%5Bmax%5D+ ALIGN=MIDDLE  ALT=\"+W%5Bmax%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+W%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=+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+=+344+ ALIGN=MIDDLE  ALT=\"+b+=+344+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W%5Bmax%5D+=+-344%2F%282%2A%28-1%29+%29+ ALIGN=MIDDLE  ALT=\"+W%5Bmax%5D+=+-344%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%5Bmax%5D+=+172+ ALIGN=MIDDLE  ALT=\"+W%5Bmax%5D+=+172+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%5Bmax%5D+=+344+-+W+ ALIGN=MIDDLE  ALT=\"+L%5Bmax%5D+=+344+-+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%5Bmax%5D+=+172+ ALIGN=MIDDLE  ALT=\"+L%5Bmax%5D+=+172+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------------<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+=+-172%5E2+%2B+344%2A172+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+-172%5E2+%2B+344%2A172+\"   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+=+-29584+%2B+59168+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+-29584+%2B+59168+\"   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+=+29584+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+29584+\"   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+=+172%5E2%0D%0Aalso%0D%0A%7B%7B%7B+A%5Bmax%5D+=+W%2AL+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+172%5E2%0D%0Aalso%0D%0A%7B%7B%7B+A%5Bmax%5D+=+W%2AL+\"   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+=+172%2A172+ ALIGN=MIDDLE  ALT=\"+A%5Bmax%5D+=+172%2A172+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This shows that the maximum area is a square<BR>\n" );
document.write( "( which is always true )<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Here's the plot od <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+-W%5E2+%2B+344W+ ALIGN=MIDDLE  ALT=\"+A+=+-W%5E2+%2B+344W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-100%2C+500%2C+-3500%2C+35000%2C+-x%5E2+%2B+344x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-100%2C+500%2C+-3500%2C+35000%2C+-x%5E2+%2B+344x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );