Question

The area of field in the shape of hexagon 2400√3 m^2 . what will be the cost of fencing is at 18.50 /m?

Answer 1

If the cost of fencing is at the rate of Rs. 18.50 per meter then the total cost of fencing the hexagon field is Rs. 4440.

Step-by-step explanation:

Step 1:

Area of the field in the shape of a hexagon is given as 2400√3 m².

Let each side of the hexagon field be “a” m

The formula for the area of the hexagon is given by,

Area = $\frac{3\sqrt{3}}{2}$ * a²

By substituting the given value of the field, we get

2400√3 = $\frac{3\sqrt{3}}{2}$ * a²

⇒ a² = $\frac{2400 * 2}{3}$

⇒ a² = 1600

⇒ a = 40 m

Step 2:

We know that fencing of a field is done along its boundary, therefore, we have to find the perimeter of the hexagon field.

The formula of the perimeter of the hexagon is given by,

Perimeter = 6a

Substituting a = 40 m in the formula of the perimeter, we get

∴ Perimeter = 6 * 40 = 240 m

Step 3:

The cost of fencing per meter is given as Rs. 18.50  

Thus,  

The total cost of fencing the hexagon field will be,

= 240 m * Rs. 18.50  

= Rs. 4440

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Answer 2

Answer:

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