To determine the appropriate length board Mia should use for the back wall of her shelter, we need to convert 3.25 feet into inches since the board lengths provided in the options are in inches.
1 foot is equal to 12 inches. Therefore, to convert 3.25 feet into inches: \[ 3.25 \text{ feet} \times 12 \text{ inches/foot} = 39 \text{ inches} \]
Given the options:
- 42 inch board
- 48 inch board
- 36 inch board
- 39 inch board
The correct response for the length of the shelter is 39 inch board.