To find the area of a square, you can use the formula:
\[ \text{Area} = \text{side length} \times \text{side length} \]
For a square with each side measuring 13 feet:
\[ \text{Area} = 13 \text{ ft} \times 13 \text{ ft} = 169 \text{ ft}^2 \]
So, the area of the square is 169 ft².