Question

The area of a field in the shape of a regular hexagon is 3750√3 m2. What will be the cost (in Rs.) of putting fence around it at Rs. 29 per meter?

• A. 10,150
• B. 7,250
• C. 9,425
• D. 8,700

Answer 1

Answer:

D. 8,700

Solution: Given: Area of hexagonal field is 3750√3 m2 Cost of fencing is Rs. 29 per meter Formula Used: Area of hexagon = 6 × (√3)/4 × a2 Perimeter of a hexagon = 6 × a Where a is a side of hexagon. Cocnept Used: Fencing is done around the boundaries of any field. i.e. We need to calculate the perimeter of a field, To find the length of fencing. Calculation: Area of hexagon = 6 × (√3)/4 × a2 ⇒ 3750√3 = 6 × (√3)/4 × a2 ⇒ 3750 = 6 × 1/4 × a2 ⇒ (3750 × 4)/6 = a2 ⇒ 2500 = a2 ⇒ a = 50 Perimeter of a hexagonal field = 6 × a ⇒ Perimeter of a hexagonal field = 6 × 50 ⇒ Perimeter of a hexagonal field = 300 meter. Cost of fencing is Rs. 29 per meter ⇒ Total cost of fencing is, ⇒ 29 × 300 ⇒ 8,700 Rs. ∴ Total cost of fencing is Rs. 8,700.