Hi MG
ALL THE SYMBOLS THAT I USE HAVE A PURPOSE. 
Do you mean this line
$$\mathbf{If\quad L^2=9\qquad then\; \; L=\sqrt{9} = 3cm}$$
rectangle
Area = Length*Breadth
A square is just a special rectangle where length= breadth So
Area of a square = L*L
but L*L can be written as $$L^2$$
So with the little rectangle
$$\mathbf{If\quad L^2=9\qquad then\; \; L=\sqrt{9} = 3cm}$$
This is because the inverse of square is square root.
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Isn't this area stuff a part of what you mean by shapes?