document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036169>Question 1036169</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the dimensions of a rectangle with an area of 81 sq. cm and a perimeter of 60 cm? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650794 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650794\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( " a rectangle with an area of 81 sq.<BR>\n" );
document.write( "Area of rectangle = length x width<BR>\n" );
document.write( "l x b = 81<BR>\n" );
document.write( "l = 81/w<BR>\n" );
document.write( "Perimeter of rectangle = 2 x length + 2 x width<BR>\n" );
document.write( "60 = 2(81/w) + 2 x width<BR>\n" );
document.write( "60 = 162/w + 2w<BR>\n" );
document.write( "Multiply through by w<BR>\n" );
document.write( "60w = 162 + 2w^2<BR>\n" );
document.write( "Sort into ax^2 + bx + c = 0 form<BR>\n" );
document.write( "2w^2 - 60w + 162 = 0<BR>\n" );
document.write( "Divide by 2<BR>\n" );
document.write( "w^2 - 30w + 81 = 0<BR>\n" );
document.write( "Factorize<BR>\n" );
document.write( "(w - 3)(w - 27) = 0<BR>\n" );
document.write( "w = 3 or 27<BR>\n" );
document.write( "Using l = 81/w<BR>\n" );
document.write( "If w = 3cms then l = 27cms<BR>\n" );
document.write( "If w = 27cms then l = 3cms<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );