document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812948>Question 812948</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer has 120 meters of fencing and wants to enclose a rectangular plot of land that requires fencing on only three sides since it is bounded by a river on one side. Find the length and width of the plot that will maximize the area? \r<BR>\n" );
document.write( "\n" );
document.write( "Can you please help me out? Thanks so much in advance:) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489553 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=489553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L + 2w = 120<BR>\n" );
document.write( "L = 120 - 2w<BR>\n" );
document.write( "---<BR>\n" );
document.write( "A = Lw<BR>\n" );
document.write( "A = (120 - 2w)w<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Area is now a quadratic function of width (w):<BR>\n" );
document.write( "A(w) = -2ww + 120w + 0<BR>\n" );
document.write( "A(w) = (-2)w^2 + 120w + 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=-2, b=120, and c=0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to find the maximum area A(w), plug this:<BR>\n" );
document.write( "-2 120 0<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer 1:<BR>\n" );
document.write( "the maximum point of the above quadratic equation is: ( 30, 1800 )<BR>\n" );
document.write( "---<BR>\n" );
document.write( "so the maximum area that can be enclosed is: 1800 sq.m (the y-coordinate of the maximum point)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "now, to find the L and w dimensions of the maximum area, remember this equation from above:<BR>\n" );
document.write( "A(w) = (-2)w^2 + 120w + 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "we used that eqn to maximize Area, but as a side effect we also got w for that max area, from the maximum point: ( w=30, A=1800 )<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer 2:<BR>\n" );
document.write( "w for maximum area = 30<BR>\n" );
document.write( "L for maximum area = 120 - 2w = 120 - 60 = 60<BR>\n" );
document.write( "so the maximum area has dims: w=30, L=60<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );