A rectangular rug has a width of x2- 6 feet.The length of the rug is 2 feet more than the width. Write an expression to represent the length of the rug in terms of x and represent the perimeter of the rug in simplest terms.
w = x^2 - 6
L = w+2 = x^2 - 4
P = 2 L + 2 w
= 2 (x^2-4) + 2 (x^2-6)
= 2 x^2 - 8 + 2 x^2 - 12
= 4 x^2 - 20