Question 1144267
l = length
w = width
l = w + 2
area = l * w, and since l = w + 2, then area = (w + 2) * w = w^2 + 2w.
since area = 2, then 2 = w^2 + 2w.
subtract 2 from both sides of the equation to get w^2 + 2w - 2 = 0
factor this quadratic equation to get:
w = .7320508076 or w = -2.7320508076
w has to be positive so w = .7320508076
since area = length * width, and since area = 2 and since width = .7320508076 and since length = width + 2, then length = 2.7320508076.
length * width = .7320508076 * 2.7320508076 = 2
this confirms the solution is correct.