document.write( "Question 436885: The length of a rectangle is 6 cm less than twice the width. The area of the rectangle is 108 cm2. Find the length and width of the rectangle. \n" ); document.write( "
Algebra.Com's Answer #302243 by unreal4evr(11)![]() ![]() ![]() You can put this solution on YOUR website! A = L * W \n" ); document.write( "108 cm2 = L * W \n" ); document.write( "L = 2W - 6 cm \n" ); document.write( "108 cm2 = (2W - 6 cm) * W \n" ); document.write( "108 cm2 = (2W^2 - 6W) \n" ); document.write( "2W^2 - 6W - 108 cm2 = 0 \n" ); document.write( "(W + 6)(2W - 18) \n" ); document.write( "W = -6 cm or W = 9 cm (use 9) \n" ); document.write( "L = 2(9 cm) - 6 cm \n" ); document.write( "L = 12 cm \n" ); document.write( " \n" ); document.write( "//Check \n" ); document.write( "108 cm2 = 12 cm * 9 cm \n" ); document.write( "108 cm2 = 108 cm2 \n" ); document.write( " \n" ); document.write( "L = 12 cm W = 9 cm \n" ); document.write( " \n" ); document.write( " |