document.write( "Question 522115: The perimeter of a rectangle is 32 feet. The length is three times the width. Finf the diagonal. Round to the nearest tenth. \n" ); document.write( "
Algebra.Com's Answer #346692 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The perimeter of a rectangle is 32 feet. The length is three times the width. Finf the diagonal. Round to the nearest tenth. \n" ); document.write( ". \n" ); document.write( "Let w = width \n" ); document.write( "then \n" ); document.write( "3w = length \n" ); document.write( ". \n" ); document.write( "Because we know the perimeter: \n" ); document.write( "32 = 2(w + 3w) \n" ); document.write( "32 = 2(4w) \n" ); document.write( "16 = 4w \n" ); document.write( "4 feet = w (width) \n" ); document.write( ". \n" ); document.write( "Length: \n" ); document.write( "3w = 3(4) = 12 feet \n" ); document.write( ". \n" ); document.write( "Diagonal, we use the pythagorean theorem: \n" ); document.write( "Let d = diagonal \n" ); document.write( "then \n" ); document.write( "d^2 = 4^2 + 12^2 \n" ); document.write( "d^2 = 16 + 144 \n" ); document.write( "d^2 = 160 \n" ); document.write( "d = 12.6 feet \n" ); document.write( " \n" ); document.write( " |