To calculate the area \( A \) of a triangle, you can use the formula:
\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]
In this case, the base of the triangle is 13 yards and the height is 5 yards. Plugging in these values:
\[ A = \frac{1}{2} \times 13 , \text{yards} \times 5 , \text{yards} \]
Calculating this:
\[ A = \frac{1}{2} \times 65 , \text{square yards} = 32.5 , \text{square yards} \]
Therefore, the area of the triangle is \( 32.5 \) square yards.