document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110552>Question 1110552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangular enclosure is given by the function A(w)=-2w^2 + 48w, where A(w) is the area in square meters and w is the width of the rectangle in meters.\r<BR>\n" );
document.write( "\n" );
document.write( "a) What values of w given an area of 0?<BR>\n" );
document.write( "b) what is the maximum area of the enclosure? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725533 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=725533\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> --------------------------------------------<BR>\n" );
document.write( "a) What values of w given an area of 0?<BR>\n" );
document.write( "-------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If area were 0 then this would not be any rectangle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------------<BR>\n" );
document.write( "b) what is the maximum area of the enclosure?<BR>\n" );
document.write( "----------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Look for the value w in the middle of the two roots.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2w%5E2%2B48w=0 ALIGN=MIDDLE  ALT=\"-2w%5E2%2B48w=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2-24w=0 ALIGN=MIDDLE  ALT=\"w%5E2-24w=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%28w-24%29=0 ALIGN=MIDDLE  ALT=\"w%28w-24%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "roots or \"zeros\" are 0 and 24.<BR>\n" );
document.write( "The exact middle of these is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=12 ALIGN=MIDDLE  ALT=\"w=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%2812%29 ALIGN=MIDDLE  ALT=\"A%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );