document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1068827>Question 1068827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a child care center has 200 feet of fencing to enclose two adjacent rectangular safe play areas (with one fencing in the adjacent side)\r<BR>\n" );
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document.write( "a)write total area of the play areas as a function of x<BR>\n" );
document.write( "b)write the area function in standard form to find algebraically the dimensions that will produce the maximum enclosed area.\r<BR>\n" );
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document.write( "please help with my question! thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #684091 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=684091\">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=+W+ ALIGN=MIDDLE  ALT=\"+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = width ( 3 equal sizes )<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L+ ALIGN=MIDDLE  ALT=\"+L+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = length ( 2 equal sizes )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+=+3W+%2B+2L+ ALIGN=MIDDLE  ALT=\"+200+=+3W+%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=+2L+=+200+-+3W+ ALIGN=MIDDLE  ALT=\"+2L+=+200+-+3W+\"   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+-+%283%2F2%29%2AW+ ALIGN=MIDDLE  ALT=\"+L+=+100+-+%283%2F2%29%2AW+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(a)<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 total area<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+100+-+%283%2F2%29%2AW+%29+ ALIGN=MIDDLE  ALT=\"+A+=+W%2A%28+100+-+%283%2F2%29%2AW+%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+=+-%283%2F2%29%2AW%5E2+%2B+100W+ ALIGN=MIDDLE  ALT=\"+A+=+-%283%2F2%29%2AW%5E2+%2B+100W+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "This is a parabola with a maximum due<BR>\n" );
document.write( "to the minus sign. <BR>\n" );
document.write( "The W-value of the function maximum 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=+W%5Bmax%5D+=+%28-100%29%2F%282%2A%28-3%2F2%29+%29+ ALIGN=MIDDLE  ALT=\"+W%5Bmax%5D+=+%28-100%29%2F%282%2A%28-3%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=+W%5Bmax%5D+=+100%2F3+ ALIGN=MIDDLE  ALT=\"+W%5Bmax%5D+=+100%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+L%5Bmax%5D+=+100+-+%283%2F2%29%2AW+ ALIGN=MIDDLE  ALT=\"+L%5Bmax%5D+=+100+-+%283%2F2%29%2AW+\"   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+=+100+-+%283%2F2%29%2A%28100%2F3%29+ ALIGN=MIDDLE  ALT=\"+L%5Bmax%5D+=+100+-+%283%2F2%29%2A%28100%2F3%29+\"   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+=+100+-+50+ ALIGN=MIDDLE  ALT=\"+L%5Bmax%5D+=+100+-+50+\"   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+=+50+ ALIGN=MIDDLE  ALT=\"+L%5Bmax%5D+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( " The lengths that give the maximum area are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+=+33.333%0D%0A%7B%7B%7B+L+=+50+ ALIGN=MIDDLE  ALT=\"+W+=+33.333%0D%0A%7B%7B%7B+L+=+50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+=+3W+%2B+2L+ ALIGN=MIDDLE  ALT=\"+200+=+3W+%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=+200+=+3%2A33.333+%2B+2%2A50+ ALIGN=MIDDLE  ALT=\"+200+=+3%2A33.333+%2B+2%2A50+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+200+=+100+%2B+100+ ALIGN=MIDDLE  ALT=\"+200+=+100+%2B+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<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+=+33.333%2A50+ ALIGN=MIDDLE  ALT=\"+A+=+33.333%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+=+1666.667+ ALIGN=MIDDLE  ALT=\"+A+=+1666.667+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "( note that you can replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+W+ ALIGN=MIDDLE  ALT=\"+W+\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+ ALIGN=MIDDLE  ALT=\"+A+\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and that will give <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+f%28x%29+ ALIGN=MIDDLE  ALT=\"+y+=+f%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the way they want. )<BR>\n" );
document.write( "Here's the plot of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+A+=+f%28W%29+ ALIGN=MIDDLE  ALT=\"+A+=+f%28W%29+\"   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+-10%2C+100%2C+-200%2C+2000%2C+-%283%2F2%29%2Ax%5E2+%2B+100x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-10%2C+100%2C+-200%2C+2000%2C+-%283%2F2%29%2Ax%5E2+%2B+100x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );