document.write( "Question 760419: The length of a rectangular sheet of paper is 4 inches more than twice its width. If the area of the sheet is 160 square inches, what are its length and width? Use factoring to solve the problem. \n" ); document.write( "
Algebra.Com's Answer #462677 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Width = x \n" ); document.write( "Length = 4 + 2x \n" ); document.write( "Area = length * width \n" ); document.write( "160 = (4 + 2x)*x \n" ); document.write( "160 = 4x + 2x^2 \n" ); document.write( "2x^2 + 4x - 160 = 0 \n" ); document.write( "Divide by 2 \n" ); document.write( " x^2 + 2x - 80 = 0 \n" ); document.write( " (x + 10)(x - 8) = 0 \n" ); document.write( "x = 8 \n" ); document.write( "x = - 10 (no answer) \n" ); document.write( "Width = 8 inches \n" ); document.write( "Length = 20 inches. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |