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The dimensions of the triangular field are given as 16 m, 12 m and 18 m.

In order to find the length of the fence, one needs to find the perimeter of this field first.

Perimeter will be the sum of the sides of the triangle.

The perimeter of the triangular field is \[\left( {16 + 12 + 18} \right) = 46\] m.

Now, the rate of fencing is Rs 25 per meter.

Therefore in order to fence 46m, the total cost of fencing will be $46X25 = 1150$Rs.

The other types of triangle are equilateral triangle, right angled triangle and isosceles triangle.