document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=337281>Question 337281</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Carpenter is building a rectangular room with a fixed perimeter of 192ft.  What dimensions would yield the maximum area? What is the maximum area?\r<BR>\n" );
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document.write( "the length that would yield the maximum area is ________ ft. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241790 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=241790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Carpenter is building a rectangular room with a fixed perimeter of 192ft.<BR>\n" );
document.write( "Perimeter = 2(L + W)<BR>\n" );
document.write( "192 = 2(L+W)<BR>\n" );
document.write( "L + W = 96<BR>\n" );
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document.write( "What dimensions would yield the maximum area? What is the maximum area? <BR>\n" );
document.write( "the length that would yield the maximum area is ________ ft.<BR>\n" );
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document.write( "Area = LW<BR>\n" );
document.write( "A = L(96-L)<BR>\n" );
document.write( "A = -L^2+96L<BR>\n" );
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document.write( "Quadratic with a = -1 and b = 96<BR>\n" );
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document.write( "Maximum Area occurs when L = -b/(2a) = -96/(2*-1) = 48<BR>\n" );
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document.write( "If L = 48 ft. and L+W = 96, W = 48 ft.<BR>\n" );
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document.write( "Maximum Area = 48*48 = 2304 sq. ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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