The area of a field in the shape of a regular hexagon is $2400 \sqrt{3}$ m2. The cost of fencing the field at ₹16.80/metre is:
Answer & explanation
Correct answer: option 3
We know that,
Perimeter of hexagonal field = 6 × side
The area of a regular hexagon = \(\frac{3\sqrt {3}}{2}\) side2
According to the question
= 2400\(\sqrt {3}\) = \(\frac{3\sqrt {3}}{2}\)side2
= side = 40 m.
Perimeter of hexagonal field = 6 × 40 = 240 m
Cost of fencing = 16.80 × 240 = Rs.4032