We are going to name variables to solve the problem: x = length (x-8) = width The area of the rectangle by definition is: A = (x) * (x-8) = 84 Rewriting: (x) * (x-8) = 84 x ^ 2-8x-84 = 0 Solving the polynomial: (x-14) * (x + 6) = 0 x = 14 x = -6 We need the values x> 0 Thus, x = 14 (length) (14-8) = 6 (wide) Answer: the dimensions of a rectangle are length = 14 mi wide = 6 mi
