document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764039>Question 764039</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of land, bounded on one side by a river, is to be fenced on the other three sides. What is the largest possible area that can be enclosed by 300 meters of fencing? Complete the square to find the maximum area. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465208 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=465208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One side would be 300-x and the other side side lengths are each x.  The area in general is a function of x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28x%29=x%28300-x%29 ALIGN=MIDDLE  ALT=\"A%28x%29=x%28300-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the length of fencing is 300.\r<BR>\n" );
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document.write( "We can use the function in factored form to find the zeros.  The x value in exactly the middle of the zeros is that at which A is either a minimum or a maximum.  Here, we can see that A(x) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2%2B300 ALIGN=MIDDLE  ALT=\"-x%5E2%2B300\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is a parabola with a maximum, seeing that the coefficient on x^2 term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "With that, can you find the maximum area?  <BR>\n" );
document.write( "(BIG HINT: A=0 when x=0 or x=300) </SPAN>\n" );
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