The correct option is A 1 : 4
In the first figure, ratio between number of squares and the number of matchsticks = 1 : 4
In the second figure, ratio between number of squares and the number of matchsticks = 2 : 8 = 1 : 4
In the third figure, ratio between number of squares and the number of matchsticks = 4 : 16 = 1 : 4
Therefore, the ratio between number of squares and the number of matchsticks used is 1 : 4.