First, we will get the factors of 32:
32 = 1x32 = 2x16 = 4x8
Now, we will find the arrangements of the tiles
Note: we will exclude that she can can form one column including all 32 tiles or 32 columns with 1 tiles in each as these are the trivial answers.
To find the possibilities, we will use the factors 2, 16, 4 and 8.
Tyra can form:
2 column with 16 tiles in each
16 columns with 2 tiles in each
4 column with 8 tiles in each
8 columns with 4 tiles in each