document.write( "Question 1163531: A wood that is 120 inches in length is to be cut into two parts such that the ratio of the
\n" ); document.write( "parts constitutes the Golden Ratio. What must be the lengths of the wood? \n" ); document.write( "
Algebra.Com's Answer #787666 by ankor@dixie-net.com(22740)\"\" \"About 
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A wood that is 120 inches in length is to be cut into two parts such that the ratio of the parts constitutes the Golden Ratio.
\n" ); document.write( " What must be the lengths of the wood?
\n" ); document.write( ">
\n" ); document.write( "Golden ratio; The ratio of the smaller to the larger is equal to the ratio of the larger to the whole.
\n" ); document.write( " G = \"%28sqrt%285%29-1%29%2F2\" = .618....
\n" ); document.write( "a = the longer line
\n" ); document.write( "b = the shorter
\n" ); document.write( "a + b = 120
\n" ); document.write( "b + .618a
\n" ); document.write( "therefore
\n" ); document.write( "1.618a = 120
\n" ); document.write( "a = 120/1.618
\n" ); document.write( "a = 74.1656\" the longer length
\n" ); document.write( "b = 120 - 74.1656
\n" ); document.write( "b = 45.8344\" the shorter\r
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