document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=400032>Question 400032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The golden ratio. The ancient Greeks thought that the<BR>\n" );
document.write( "most pleasing shape for a rectangle was one for which the<BR>\n" );
document.write( "ratio of the length to the width was approximately 8 to 5,<BR>\n" );
document.write( "the golden ratio. If the length of a rectangular painting is<BR>\n" );
document.write( "2 ft longer than its width, then for what dimensions would<BR>\n" );
document.write( "the length and width have the golden ratio? Use a porportion to solve </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283340 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=283340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "the length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W+%2B2+ft ALIGN=MIDDLE  ALT=\"L=W+%2B2+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%3AW+=8+%3A+5 ALIGN=MIDDLE  ALT=\"L%3AW+=8+%3A+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........since the length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W2+%2B2+ft ALIGN=MIDDLE  ALT=\"L=W2+%2B2+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W+%2B2+ft%29+%3A+W+=8+%3A+5 ALIGN=MIDDLE  ALT=\"%28W+%2B2+ft%29+%3A+W+=8+%3A+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%28W+%2B2+ft%29++=8+W ALIGN=MIDDLE  ALT=\"5%28W+%2B2+ft%29++=8+W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5W+%2B10+ft%29+=8+W ALIGN=MIDDLE  ALT=\"5W+%2B10+ft%29+=8+W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ft++=8+W-5W ALIGN=MIDDLE  ALT=\"+10+ft++=8+W-5W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ft++=+3+W ALIGN=MIDDLE  ALT=\"+10+ft++=+3+W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ft%2F3+=++W ALIGN=MIDDLE  ALT=\"+10+ft%2F3+=++W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3.333333+ft+=++W ALIGN=MIDDLE  ALT=\"+3.333333+ft+=++W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now find the length:\r<BR>\n" );
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document.write( "the length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W+%2B2+ft ALIGN=MIDDLE  ALT=\"L=W+%2B2+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "the length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=3.333333+ft+%2B2+ft+=+5.333333+ft ALIGN=MIDDLE  ALT=\"L=3.333333+ft+%2B2+ft+=+5.333333+ft\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.333333+%3A+3.333333+=8+%3A+5 ALIGN=MIDDLE  ALT=\"5.333333+%3A+3.333333+=8+%3A+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.60000006000000600000060000006+=1.6 ALIGN=MIDDLE  ALT=\"1.60000006000000600000060000006+=1.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.6=1.6 ALIGN=MIDDLE  ALT=\"1.6=1.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );