document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37590>Question 37590</A>: <I><SPAN STYLE=\"word-break: break-all;\">    Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.\r<BR>\n" );
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document.write( "Is this how I do it.  P = 2l + 2w?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24625 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=24625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">    Amanda has 400 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). She wants to maximize the area of her patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.\r<BR>\n" );
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document.write( "Yes, use P=2l+2w<BR>\n" );
document.write( "400=2l+2w<BR>\n" );
document.write( "l+w=200<BR>\n" );
document.write( "l=200-w<BR>\n" );
document.write( "Now, Area=lw<BR>\n" );
document.write( "    A=(200-w)(w)=200w-w^2<BR>\n" );
document.write( "Then, w^2-200w+A=0<BR>\n" );
document.write( "This is a quadratic with a=1,b=-200, c=A<BR>\n" );
document.write( "The maximum is at -b/2a = -(-200)/2=100<BR>\n" );
document.write( "So the dimensions are 100' by 100'\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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