The perimeter of a triangular field is `540 m` and its sides are in the ratio `25 : 17 : 12.` Find the area of the triangle.

Explanation

To find the area of the triangular field given the perimeter and the ratio of its sides, we can follow these steps:

### Step 1: Determine the sides of the triangle
Given the ratio of the sides is \(25:17:12\), we can express the sides in terms of a variable \(x\):
- Side A = \(25x\)
- Side B = \(17x\)
- Side C = \(12x\)

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