Why does the calcualtion
include the perimeter squared (P^2) and not the perimeter?
This ratio is designed to produce a dimensionless measure of
the shape. A dimensionless shape appears when taking the ratio
removes the dimensions of measurement.
Example: 6 meters/ 2 meters = 3
Or, in our case: (6 meters)^2/3
meters^2 = 36 meters^2/3 meters^2 = 12.
This then presents the image in terms of
its shape and not its measurements of size.