A trapezoidal door mat is similar in shape to a trapezoid rug. Each dimension of the door mat is 1/3 the size of the rug. Which statement is true
A. The area of the door mat is 1/6 the area of the rug
B. The area of the door mat is 1/9 the area of the rug
C. The perimeter of the door mat is 1/6 the perimeter of the rug
D. The perimeter of the door mat is 1/9 the perimeter of the rug