document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=813326>Question 813326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mike wants to enclose a rectangular area alongside his barn using 30 feet of fencing. What dimensions will maximize the area fenced in if the barn is used for one side of the r ectangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489735 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=489735\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> L + 2w = 30<BR>\n" );
document.write( "L = 30 - 2w<BR>\n" );
document.write( "A = Lw<BR>\n" );
document.write( "---<BR>\n" );
document.write( "A = (30 - 2w)w<BR>\n" );
document.write( "A = 30w - 2ww<BR>\n" );
document.write( "A(w) = -2ww + 30w + 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=-2, b=30, and c=0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "-2 30 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 vertex of the quadratic equation is a maximum point at: ( w=7.5, A(w)=112.5 )<BR>\n" );
document.write( "---<BR>\n" );
document.write( "w = 7.5 feet<BR>\n" );
document.write( "L = 30 - 2w<BR>\n" );
document.write( "L = 30 - 2(7.5) = 15 feet<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer 2:<BR>\n" );
document.write( "the max area is: 112.5 sq.ft.<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" );