If the dimensions of a shape are increased by a factor of k, then the perimeter of the shape will be increased by a factor of k, and the area of the shape will be increased by a factor of k^2.
For example, if the length and width of a rectangle are both increased by a factor of 2, then the perimeter of the rectangle will be increased by a factor of 2+2=4, and the area of the rectangle will be increased by a factor of 2*2=4.