The area of a field in the shape of a regular hexagon is 3750√3 m2.

1.	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?1. 10,1502. 7,2503. 9,4254. 8,700
Answer» Correct Answer - Option 4 : 8,700 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.

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?1. 10,1502. 7,2503. 9,4254. 8,700

Answer» Correct Answer - Option 4 : 8,700

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.