document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95359>Question 95359</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ratio's\r<BR>\n" );
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document.write( "Ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5.  If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and wideth have the golden ratio of 8 to 5.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69586 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=69586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ancient Greeks thought that the most pleasing shape for a rectangle was one for which the ratio of the length to the width was 8 to 5. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio of 8 to 5. <BR>\n" );
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document.write( "Let x = the width<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "(x+2) = the length<BR>\n" );
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document.write( "We want to have the golden ratio<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F5 ALIGN=MIDDLE  ALT=\"8%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28x%2B2%29%29%2Fx ALIGN=MIDDLE  ALT=\"%28%28x%2B2%29%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cross multiply and you have:<BR>\n" );
document.write( "8x = 5(x+2)<BR>\n" );
document.write( "8x = 5x + 10<BR>\n" );
document.write( "8x - 5x = 10<BR>\n" );
document.write( "3x = 10<BR>\n" );
document.write( "x = 10/x<BR>\n" );
document.write( "x = 3.333 ft is the width<BR>\n" );
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document.write( "Length = 3.333 + 2 = 5.333 ft<BR>\n" );
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document.write( "Check our solution, see if it has the golden ratio<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.333%2F3.333 ALIGN=MIDDLE  ALT=\"5.333%2F3.333\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.6 = 8/5 </SPAN>\n" );
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