document.write( "Question 603370: a rectangular book is 7 cm longer than it is wide. its area is 144 cm find the length and width. \n" ); document.write( "
Algebra.Com's Answer #380676 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! A = LW\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "144 = x(x+7)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x(x+7) = 144\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2+7x = 144\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2+7x-144 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+16)(x-9) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+16 = 0 or x-9 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -16 or x = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Throw out the negative solution to get the only solution of x = 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the width is x = 9 cm and the length is x+7 = 9+7 = 16 cm. \n" ); document.write( " |