Final answer:
The area of the square tile measuring (1)/(6) foot on each side is 1/36 square feet.
Step-by-step explanation:
To find the area of a square tile, we need to square the length of one of its sides. In this case, the length of the side is (1)/(6) foot. Squaring this value, we get [(1)/(6)]^2 = (1^2)/(6^2) = 1/36 square feet. So, the area of the tile is 1/36 square feet.