1. **State the problem:** We have a rectangular garden that is 600 m long and 300 m wide, and we need to calculate the cost of fencing around it. 2. **Calculate the perimeter of the rectangle:** $$ \text{Perimeter} = 2 \times (\text{length} + \text{width}) = 2 \times (600 + 300) = 2 \times 900 = 1800 \text{ meters} $$ 3. **Calculate the cost per meter of fencing:** The cost is Php 500 for every 3 meters. So the cost per meter is: $$ \frac{500}{3} \approx 166.67 \text{ Php/meter} $$ 4. **Calculate the total cost:** Multiply the perimeter by the cost per meter: $$ 1800 \times 166.67 = 300000 \text{ Php} $$ 5. **Final answer:** The total cost to place fencing around the park is Php 300000. **Correct choice:** c. Php 300 000