A square field has an area of 6.25 km² find the cost of putting a fence round it at rs. 10.50 per meter
105000
To find the cost of putting a fence around the square field, we need to calculate the perimeter of the field.
Step 1: Find the side length of the square field.
The area of a square is given by the formula: A = s^2, where A is the area and s is the side length.
Given that the area is 6.25 km², we can find the side length by taking the square root of the area: s = √A.
In this case, s = √6.25 km² = 2.5 km.
Step 2: Calculate the perimeter of the square field.
The perimeter of a square is given by the formula: P = 4s, where P is the perimeter and s is the side length.
In this case, P = 4 × 2.5 km = 10 km.
Step 3: Convert the perimeter from km to meters.
1 km = 1000 meters
So, the perimeter in meters is: 10 km × 1000 meters/km = 10,000 meters.
Step 4: Calculate the cost of fencing.
Given the cost is rs. 10.50 per meter, we multiply the perimeter in meters by the cost per meter.
Cost = perimeter × cost/meter = 10,000 meters × rs. 10.50/meter.
Finally, we calculate the cost:
Cost = 105,000 rs.
Therefore, the cost of putting a fence around the square field at rs. 10.50 per meter is 105,000 rs.
To find the cost of putting a fence around the square field, we need to calculate the perimeter of the field.
Since the field is square, the sides are equal in length.
To find the side length, we can take the square root of the area.
Area of the field = length × width
6.25 km² = length × length
Taking the square root of both sides, we get:
√6.25 km² = length
Therefore, the length of each side of the square field is 2.5 km.
Now, to find the perimeter, we multiply one side length by 4:
Perimeter of the field = 4 × length
Perimeter = 4 × 2.5 km
Perimeter = 10 km
Now that we have the perimeter in kilometers, we need to convert it to meters because the cost is given per meter.
1 kilometer = 1000 meters
So, the perimeter in meters is:
Perimeter = 10 km × 1000 m/km
Perimeter = 10,000 meters
Finally, we can calculate the cost of putting a fence around the field:
Cost = Perimeter × Cost per meter
Cost = 10,000 meters × Rs. 10.50/meter
Cost = Rs. 105,000