Problem: a square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely . if a side of the first square is 4 cm , determine the sum of the areas all the square . 
Options: ['a ) 32 cm 2', 'b ) 16 cm 2', 'c ) 20 cm 2', 'd ) 64 cm 2', 'e ) none of these']
a