The perimeter of a shape will always be greater then the area of the shape

Not necessarily. For example, you can have a rectangle whose dimensions are 12 and 6. Length is 12 and 6 is the width.

The area (length * width) of the rectangle will be 72.

The perimeter of the rectangle (2l + 2w) will be 36.

So, in this case, the area was double the perimeter and the perimeter was not greater than the area of the shape.