document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204167>Question 204167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One principle used by the ancient<BR>\n" );
document.write( "Greeks to get shapes that are pleasing to the eye in art<BR>\n" );
document.write( "and architecture was the Golden Rectangle. If a square<BR>\n" );
document.write( "is removed from one end of a Golden Rectangle, as shown<BR>\n" );
document.write( "in the figure, the sides of the remaining rectangle are<BR>\n" );
document.write( "proportional to the original rectangle. So the length<BR>\n" );
document.write( "and width of the original rectangle satisfy<BR>\n" );
document.write( "L/W = W/L-W\r<BR>\n" );
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document.write( "An artist wants her painting to be in the<BR>\n" );
document.write( "shape of a golden rectangle. If the length of the painting is<BR>\n" );
document.write( "36 inches, then what should be the width?\r<BR>\n" );
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document.write( "So far the only thing I have is 36/w = w/36-w. I can't find an example in my book that looks like this equation. I am missing a step somewhere. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154152 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=154152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 36/w = w/36-w<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Cross-multiply to get:<BR>\n" );
document.write( "36(36-w) = w^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "36^2 - 36w = w^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "w^2 + 36w - 36^2 = 0<BR>\n" );
document.write( "I graphed it and found that w = 22.249..<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );