Area of the room = 5.4m × 4.2 m
Thus area = 22.6 [tex]{m}^{2}[/tex]
Number of square tiles = 1575
Thus The area of each tile:
[tex] = \dfrac{22.6}{1575} {m}^{2} [/tex]
[tex] \bold{\red{= 0.0144 {m}^{2}}} [/tex]
Now the dimensions of square tile will be:
[tex] = \sqrt{0.0144} m[/tex]
[tex] \bold{\red{= 0.12m}}[/tex]