The poster shown in the diagram has the dimensions 6 inches by 9 inches.
To get the dimensions at 1/3 of its current size, we do the following;
[tex]\begin{gathered} \text{Length}=9 \\ \text{New length=}\frac{1}{3}\times9 \\ \text{New length=3 inches} \\ \text{Width}=6 \\ \text{New width=}\frac{1}{3}\times6 \\ \text{New width=2 inches} \end{gathered}[/tex]Therefore, the first option is the correct answer
2 in by 3 in