Let the common ratio of the sides of triangle be x and sides are 12x, 17x and 25x

Parameter of the triangle = 540 cm

12x + 17x + 25x = 540cm

x = 10

Sides of triangle:

12x = 12*10 = 120cm

17x = 17*10 = 170cm

25x = 25*10 = 250cm

Semi perimeter of triangle(s) =

= 270cm

Now,

Using Heron’s formula,

Area of the triangle =

=

=

= 9000 cm²