document.write( "Question 983408: A page with length 3 cm longer than its width has 80 cm^2 of printed area. The margins at the top and bottom are each 3/2 cm and the side margins are each 1 cm. Find the dimensions of the page. \n" ); document.write( "
Algebra.Com's Answer #604189 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let width of page be x \n" ); document.write( "length of page = (x+3)\r \n" ); document.write( "\n" ); document.write( "width of painted area = (x-2) cm \n" ); document.write( "length of printed area = (x+3)-3 = x\r \n" ); document.write( "\n" ); document.write( "x(x-2) = printed area \r \n" ); document.write( "\n" ); document.write( "x^2-2x = 80 \n" ); document.write( "x^2=10x+8x=80\r \n" ); document.write( "\n" ); document.write( "x^2-10x+8x-80=0\r \n" ); document.write( "\n" ); document.write( "x(x-10)+8(x-10)=0\r \n" ); document.write( "\n" ); document.write( "(x+8)(x-10)=0\r \n" ); document.write( "\n" ); document.write( "x= -8 OR 10 ( ignore negative)\r \n" ); document.write( "\n" ); document.write( "width of page = 10cm \n" ); document.write( "length of page = 13 cm\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |