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:
Answer & explanation
Correct answer: option 4
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