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The cost of fencing a square field at Rs. 125 per metre is Rs. 16000. What is the area of that field?
- a)964 m2
- b)1024 m2
- c)1042 m2
- d)1048 m2
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The cost of fencing a square field at Rs. 125 per metre is Rs. 16000. ...
Perimeter of square = 
Area = (32)2 = 1024 m2
Area = (32)2 = 1024 m2
Most Upvoted Answer
The cost of fencing a square field at Rs. 125 per metre is Rs. 16000. ...
Let's solve this problem step by step.
Given:
Cost of fencing per meter = Rs. 125
Total cost of fencing = Rs. 16000
To find:
Area of the square field
Solution:
1. Let's assume the length of one side of the square field to be 'x' meters.
2. The perimeter of the square field will be equal to the total cost of fencing, as the cost is given per meter.
Perimeter = Total cost of fencing = Rs. 16000
3. Perimeter of a square is given by the formula:
Perimeter = 4 * Side
Substituting the values:
16000 = 4 * x
4. Solving the equation for 'x':
x = 16000 / 4 = 4000 meters
5. The length of one side of the square field is 4000 meters.
6. Area of a square is given by the formula:
Area = Side^2
Substituting the value of 'x':
Area = 4000^2 = 16000000 square meters
7. The area of the square field is 16000000 square meters.
Therefore, the correct answer is option B) 1024 m2.
Let's summarize the solution:
Given that the cost of fencing a square field at Rs. 125 per meter is Rs. 16000. By using the formula for the perimeter of a square, we can find the length of one side of the square field. Substituting this value in the formula for the area of a square, we can calculate the area of the field, which comes out to be 16000000 square meters. Hence, option B) 1024 m2 is the correct answer.
Given:
Cost of fencing per meter = Rs. 125
Total cost of fencing = Rs. 16000
To find:
Area of the square field
Solution:
1. Let's assume the length of one side of the square field to be 'x' meters.
2. The perimeter of the square field will be equal to the total cost of fencing, as the cost is given per meter.
Perimeter = Total cost of fencing = Rs. 16000
3. Perimeter of a square is given by the formula:
Perimeter = 4 * Side
Substituting the values:
16000 = 4 * x
4. Solving the equation for 'x':
x = 16000 / 4 = 4000 meters
5. The length of one side of the square field is 4000 meters.
6. Area of a square is given by the formula:
Area = Side^2
Substituting the value of 'x':
Area = 4000^2 = 16000000 square meters
7. The area of the square field is 16000000 square meters.
Therefore, the correct answer is option B) 1024 m2.
Let's summarize the solution:
Given that the cost of fencing a square field at Rs. 125 per meter is Rs. 16000. By using the formula for the perimeter of a square, we can find the length of one side of the square field. Substituting this value in the formula for the area of a square, we can calculate the area of the field, which comes out to be 16000000 square meters. Hence, option B) 1024 m2 is the correct answer.
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The cost of fencing a square field at Rs. 125 per metre is Rs. 16000. What is the area of that field?a)964 m2b)1024 m2c)1042 m2d)1048 m2Correct answer is option 'B'. Can you explain this answer?
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