The area of a field in the shape of a regular hexagon is 5400\(\sqrt {3}\) m².  The cost of fencing the field at the rate of Rs 16.80 per meter is:

6048

Area of the hexagon = 6 × area of one equilateral triangle

Area of a hexagon = 6 × \(\frac{\sqrt {3}}{4}\) a² = 5400\(\sqrt {3}\)

⇒ a² = 3600

⇒ a = 60

Perimeter = 6 × 60 = 360 m

Cost of fencing = 360 × 16.80 = Rs. 6048