Area = Length * Width = l * w l = x + 2 w = 2x - 5 Area = (x + 2)(2x - 5) = 56 Area = 2x^2 -x - 10 = 56 Area = 2x^2 - x - 66 = 0 Now you have to factor this thing. Area = (2x + 11)( x - 6) = 0 This is more or less done by guessing. 2x + 11 = 0 can't work. x would be negative. x - 6 = 0 x = 6.
Check ===== l = x + 2 l = 6 + 2 l = 8
w = 2*x - 5 w = 2*6 - 5 w = 12 - 5 w = 7
l*w = 8*7 = 56. It checks. If this is the best answer you get, could you consider a Brainly? I need 2 of them to move up.