document.write( "Question 166432: Golden Painting. An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width? L/W = W/L-W \n" ); document.write( "
Algebra.Com's Answer #122656 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! in a golden rectangle, if the length of the painting is 36 inches, then the width of the painting would be either (1+5^(1/2))/2 times that, or that divided by [(1+5^(1/2))/2] \n" ); document.write( "----- \n" ); document.write( "[(1+5^(1/2))/2] is equal to the sum of (1 + square root of 5) divided by 2. \n" ); document.write( "[(1+5^(1/2))/2] is equal to 1.618033989 \n" ); document.write( "that number is called PHI. PHI is a greek letter. i believe it's pronounced FIE or FYE. \n" ); document.write( "----- \n" ); document.write( "if the length is the longest dimension, then the width = 36 / PHI = 22.2492236 inches. \n" ); document.write( "----- \n" ); document.write( "if the length is the shortest dimension, then the width = 36 * PHI = 58.2492236 \n" ); document.write( "----- \n" ); document.write( " \n" ); document.write( " |