The cost of fencing a square field at 40paise per meter is rs.2000.Find the cost of watering the field at 80 paise per 100square
To find the cost of watering the field, we need to calculate the area of the square field and then calculate the cost based on the given rate.
Step 1: Calculate the length of each side of the square field.
Since a square has all sides equal, the perimeter of the square field can be calculated by dividing the total cost of fencing by the cost per meter.
Perimeter of the square field = Total cost of fencing / Cost per meter
Perimeter of the square field = Rs. 2000 / 0.40 (40 paise is equivalent to 0.40 rupees)
Perimeter of the square field = 5000 meters
Step 2: Calculate the length of one side of the square field.
As the square has all sides equal, divide the perimeter by 4 (since there are 4 sides in a square) to get the length of one side.
Length of one side of the square field = Perimeter / 4
Length of one side of the square field = 5000 / 4
Length of one side of the square field = 1250 meters
Step 3: Calculate the area of the square field.
Area of a square is calculated by squaring the length of one side.
Area of the square field = (Length of one side)^2
Area of the square field = 1250^2
Area of the square field = 1,562,500 square meters
Step 4: Calculate the cost of watering the field.
To calculate the cost of watering, we divide the area of the square field by the given unit (100 square meters) and then multiply by the cost per unit (80 paise).
Cost of watering the field = (Area of the square field / 100) * Cost per unit
Cost of watering the field = (1,562,500 / 100) * 0.80 (80 paise is equivalent to 0.80 rupees)
Cost of watering the field = 15,625 * 0.80
Cost of watering the field = Rs. 12,500
Therefore, the cost of watering the field at the rate of 80 paise per 100 square meters is Rs. 12,500.