You are correct. The area of a square with side lengths of 1/3 yard is 1/9 yd^2.
To get this answer, you muse use the formula for finding the area of a square, which is s^2, where s represents the value of a side length.
The value of the side length in this case is 1/3 yard, so we should substitute that value in for s.
When we do this, we get the following:
A = (1/3 yd)^2 = 1/9 yard^2
Therefore, your answer is 1/9 yd^2.
Hope this helps!
