document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55951>Question 55951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I would like to know if I did this problem correctly. Can you help me, please?<BR>\n" );
document.write( "Amanda has 400 feet of lumber to frame a rectangular patio(the perimeter of a rectangle is 2 times length plus 2 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. Use the vertex form to find the maximum area.<BR>\n" );
document.write( "2L = 400 - 2W<BR>\n" );
document.write( "A=LW<BR>\n" );
document.write( "=(400-2W)W<BR>\n" );
document.write( "=4==W-2W^\r<BR>\n" );
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document.write( "A= 2W^ - 400W<BR>\n" );
document.write( "W = 400/2(-2) = 200 FT<BR>\n" );
document.write( "L = 400 - 2W - 400 2(200)<BR>\n" );
document.write( "=400\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46171 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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=46171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you have a total of 400 feet of timber then you cannot have a patio length of 400 feet.\r<BR>\n" );
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document.write( "2L = 400 - 2W     <-- so L=200-W<BR>\n" );
document.write( "A=LW<BR>\n" );
document.write( "=(400-2W)W        <-- =(200-W)W<BR>\n" );
document.write( "=4==W-2W^         <-- =200W - W^2<BR>\n" );
document.write( "A= 2W^ - 400W     <-- Area = -W^2+200W\r<BR>\n" );
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document.write( "Not sure what you mean by vertex form but the line of symmetry is at (-b/2a)<BR>\n" );
document.write( "=-200/-2<BR>\n" );
document.write( "=100<BR>\n" );
document.write( "So a width of 100 and a length of 100 will use 400 feet of timber and have an area of 10000 square feet.\r<BR>\n" );
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