document.write( "Question 78204: 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? \n" ); document.write( "
Algebra.Com's Answer #56104 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 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? \n" ); document.write( "-------- \n" ); document.write( "If a rectangle has length a and width b and the larger demention is \"a\", \n" ); document.write( "the golden ratio is (a+b)/a =a/b \n" ); document.write( "--------- \n" ); document.write( "Then larger/smaller = (1+sqrt5)2 = 1.6180339887... \n" ); document.write( "--------- \n" ); document.write( "Your problem: \n" ); document.write( "If 36 is the larger dimension for the picture you get: \n" ); document.write( "36/smaller = 1.6180.../1 \n" ); document.write( "smaller = 36/1.6180=22.249... \n" ); document.write( "----------- \n" ); document.write( "If 36 is the smaller dimension for the picture you get: \n" ); document.write( "larger/36 = 1.6180 \n" ); document.write( "larger = 1.6180,,,*36 = 58.24922.... \n" ); document.write( "========== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |