First let's find the width of the baseball court, knowing that the area is the product of the length and the width:
[tex]\begin{gathered} \text{Area}=\text{length}\cdot\text{width} \\ 495.61=29\cdot\text{width} \\ \text{width}=\frac{495.61}{29} \\ \text{width}=17.09 \end{gathered}[/tex]Now, the perimeter is the sum of all four sides:
[tex]\begin{gathered} \text{Perimeter}=2\cdot\text{length}+2\cdot\text{width} \\ \text{Perimeter}=2\cdot29+2\cdot17.09 \\ \text{Perimeter}=58+34.18 \\ \text{Perimeter}=92.18\text{ m} \end{gathered}[/tex]So the perimeter of the court is 92.18 meters.