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the cost of fencing a square garden is rupees 400 at the rate of rupees 1 per memetref.find the area of the garden in square meter
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the cost of fencing a square garden is rupees 400 at the rate of rupee...
Finding the Area of a Square Garden
Given that the cost of fencing a square garden is rupees 400 at the rate of rupees 1 per meter, we need to find the area of the garden in square meters.
Calculating the Perimeter
To find the perimeter of a square garden, we can use the formula:
Perimeter = 4 × side
Since all sides of a square are equal, we can simplify it as:
Perimeter = 4s
where s is the length of one side.
From the given information, we know that the cost of fencing the garden is rupees 400 at the rate of rupees 1 per meter. Therefore, the perimeter of the garden is 400 meters.
400 = 4s
Dividing both sides by 4, we get:
s = 100 meters
Finding the Area
To find the area of the square garden, we can use the formula:
Area = side × side
Substituting s = 100 meters, we get:
Area = 100 × 100
Area = 10,000 square meters
Therefore, the area of the garden is 10,000 square meters.
Conclusion
In conclusion, the area of the square garden is 10,000 square meters, given that the cost of fencing it is rupees 400 at the rate of rupees 1 per meter. To find the area, we first calculated the perimeter using the given cost and rate and then found the length of one side of the square. Finally, we used the formula for the area of a square to find the area of the garden.
Given that the cost of fencing a square garden is rupees 400 at the rate of rupees 1 per meter, we need to find the area of the garden in square meters.
Calculating the Perimeter
To find the perimeter of a square garden, we can use the formula:
Perimeter = 4 × side
Since all sides of a square are equal, we can simplify it as:
Perimeter = 4s
where s is the length of one side.
From the given information, we know that the cost of fencing the garden is rupees 400 at the rate of rupees 1 per meter. Therefore, the perimeter of the garden is 400 meters.
400 = 4s
Dividing both sides by 4, we get:
s = 100 meters
Finding the Area
To find the area of the square garden, we can use the formula:
Area = side × side
Substituting s = 100 meters, we get:
Area = 100 × 100
Area = 10,000 square meters
Therefore, the area of the garden is 10,000 square meters.
Conclusion
In conclusion, the area of the square garden is 10,000 square meters, given that the cost of fencing it is rupees 400 at the rate of rupees 1 per meter. To find the area, we first calculated the perimeter using the given cost and rate and then found the length of one side of the square. Finally, we used the formula for the area of a square to find the area of the garden.
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