Explanation:

- The sides of the triangular park are in the ratio 12:17:25.

- The perimeter of the park is given as 1080 meters.

- Let the sides be 12x, 17x, and 25x. The sum is 1080 meters:

$$

12x + 17x + 25x = 1080 \rightarrow 54x = 1080 \rightarrow x = 20

$$

- Thus, the sides are 240 m, 340 m, and 500 m.

- Use Heron's formula to find the area. First, calculate the semi-perimeter:

$$

s = \frac{1080}{2} = 540

$$

- Then, apply Heron's formula:

$$

\text{Area} = \sqrt{s(s-240)(s-340)(s-500)}

$$

$$

\text{Area} = \sqrt{540 \times 300 \times 200 \times 40}

$$

$$

\text{Area} = \sqrt{1296000000} = 36000 \text{ square meters}

$$

- Convert square meters to hectares (1 hectare = 10,000 square meters):

$$

\text{Area in hectares} = \frac{36000}{10000} = 3.6 \, \text{hectares}

$$

- Option 1: 3.6 is the correct answer.

.