document.write( "Question 303732: the width of a rectangule is 3cm less than the length. The area of the recangle is 54cm^2 . Find the Width and length. \n" ); document.write( "
Algebra.Com's Answer #217633 by london maths tutor(243)![]() ![]() You can put this solution on YOUR website! Let's length be L and width be w\r \n" ); document.write( "\n" ); document.write( "w = L - 3 \r \n" ); document.write( "\n" ); document.write( "Area = L(L-3) = 54 \r \n" ); document.write( "\n" ); document.write( "L(L-3) = 54 \n" ); document.write( "L^2 - 3L = 54 \n" ); document.write( "L^2 - 3L - 54 = 0\r \n" ); document.write( "\n" ); document.write( "(L-9)(L+6) = 0\r \n" ); document.write( "\n" ); document.write( "L-9 = 0 \n" ); document.write( "L = 9 cm\r \n" ); document.write( "\n" ); document.write( "or \r \n" ); document.write( "\n" ); document.write( "L + 6 = 0 \n" ); document.write( "L = -6(N/A)\r \n" ); document.write( "\n" ); document.write( "w = L - 3 \n" ); document.write( " = 9 - 3 \n" ); document.write( " = 6 cm\r \n" ); document.write( "\n" ); document.write( "Answer Length is 9 cm and 6 cm\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |