document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=511625>Question 511625</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you want to frame a collage of pictures. You have a 9-ft strip of wood for the frame. What dimensions of the frame give you the maximum area for the collage? What is the maximum area? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342313 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=342313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose you want to frame a collage of pictures. You have a 9-ft strip of wood for the frame. What dimensions of the frame give you the maximum area for the collage? What is the maximum area?<BR>\n" );
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document.write( "Perimeter = 2(L + W)<BR>\n" );
document.write( "9 = 2(L+W)<BR>\n" );
document.write( "L+W = 4.5<BR>\n" );
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document.write( "L = 4.5-W<BR>\n" );
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document.write( "Area = LW<BR>\n" );
document.write( "Area = (4.5-W)W<BR>\n" );
document.write( "A = 4.5W - W^2<BR>\n" );
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document.write( "You have a quadratic with a = -1 and b = 4.5<BR>\n" );
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document.write( "Maximum area occurs when W = -b/(2a) = 4.5/(2*-1) = 2.25 ft.<BR>\n" );
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document.write( "Solve for \"L\":<BR>\n" );
document.write( "L = 4.5-W<BR>\n" );
document.write( "L = 4.5-2.25 = 2.25<BR>\n" );
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document.write( "Length = 2.25 ft<BR>\n" );
document.write( "Width = 2.25 ft<BR>\n" );
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document.write( "Max area = LW = 2.25^2 = 5.0625 sq.ft.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==========\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );