document.write( "Question 343351: Throughout history, rectangles whose length is 1.62 times the width called golden rectangles have been pleasing to the eye. An Artist wants a piece of canvas in the shape of a golden rectangle with a perimeter of 9 feet. Find the length and the width. \n" ); document.write( "
Algebra.Com's Answer #245821 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! length is 1.62 times the width called golden rectangles have been pleasing to the eye. \n" ); document.write( "An Artist wants a piece of canvas in the shape of a golden rectangle with a perimeter of 9 feet. \n" ); document.write( " Find the length and the width. \n" ); document.write( ": \n" ); document.write( "Perimeter equation \n" ); document.write( "2L + 2W = 9 \n" ); document.write( "simplify, divide by 2 \n" ); document.write( "L + W = 4.5 \n" ); document.write( ": \n" ); document.write( "Given that: \n" ); document.write( "L = 1.62W \n" ); document.write( "therefore \n" ); document.write( "1.62W + W = 4.5 \n" ); document.write( "2.62W = 4.5 \n" ); document.write( "W = \n" ); document.write( "W = 1.72 ft \n" ); document.write( "then \n" ); document.write( "1.62(1.72) = 2.78 ft is the length \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check these dimensions by finding the perimeter \n" ); document.write( "2(2.78) + 2(1.72) = \n" ); document.write( "5.56 + 3.44 = 9; confirms our solution: L = 2.78, W = 1.72 \n" ); document.write( " |