Note that if the area of any figure is multiplied by a factor of a.
The perimeter will be multiplied by √a
From the problem, the are of the square is multiplied by 1/9, so we need to get the square root of that factor to get the factor for the perimeter.
![\sqrt[]{(1)/(9)}=(1)/(3)](https://img.qammunity.org/2023/formulas/mathematics/high-school/c1n2hnyz68ldf3sbrgfkxe1mztgfgjhj8h.png)
Therefore, the answer is C. multiplied by 1/3