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The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980. If the width of the field is 23m, what is its length?
- a)36 m
- b)24 m
- c)32 m
- d)28 m
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980....
Here, Perimeter 
If l and b are its length and breadth, then
⇒ 2(l + b) = 110
⇒ 2(l + 23) = 110
⇒ l + 23 = 55 ⇒ l = 55 - 23 = 32m
If l and b are its length and breadth, then
⇒ 2(l + b) = 110
⇒ 2(l + 23) = 110
⇒ l + 23 = 55 ⇒ l = 55 - 23 = 32m
Most Upvoted Answer
The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980....
Understanding the Problem
To find the length of the rectangular field, we first need to determine the perimeter of the field based on the total cost of fencing.
Step 1: Calculate the Perimeter
- The cost of fencing is Rs 1980.
- The cost per meter is Rs 18.
Using the formula:
Total Cost = Cost per meter × Perimeter
We can rearrange this to find the perimeter:
Perimeter = Total Cost / Cost per meter
- Perimeter = 1980 / 18 = 110 meters
Step 2: Formula for the Perimeter of a Rectangle
The perimeter (P) of a rectangle can be calculated using the formula:
P = 2 × (Length + Width)
Given that the width (W) is 23 meters, we can substitute this value into the formula:
- 110 = 2 × (Length + 23)
Step 3: Solve for Length
To isolate the Length, we rearrange the equation:
- 110 = 2 × Length + 46
- 110 - 46 = 2 × Length
- 64 = 2 × Length
- Length = 64 / 2
- Length = 32 meters
Conclusion
The length of the rectangular field is 32 meters. Thus, the correct option is (c) 32 m.
To find the length of the rectangular field, we first need to determine the perimeter of the field based on the total cost of fencing.
Step 1: Calculate the Perimeter
- The cost of fencing is Rs 1980.
- The cost per meter is Rs 18.
Using the formula:
Total Cost = Cost per meter × Perimeter
We can rearrange this to find the perimeter:
Perimeter = Total Cost / Cost per meter
- Perimeter = 1980 / 18 = 110 meters
Step 2: Formula for the Perimeter of a Rectangle
The perimeter (P) of a rectangle can be calculated using the formula:
P = 2 × (Length + Width)
Given that the width (W) is 23 meters, we can substitute this value into the formula:
- 110 = 2 × (Length + 23)
Step 3: Solve for Length
To isolate the Length, we rearrange the equation:
- 110 = 2 × Length + 46
- 110 - 46 = 2 × Length
- 64 = 2 × Length
- Length = 64 / 2
- Length = 32 meters
Conclusion
The length of the rectangular field is 32 meters. Thus, the correct option is (c) 32 m.
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The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980. If the width of the field is 23m, what is its length?a)36 mb)24 mc)32 md)28 mCorrect answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980. If the width of the field is 23m, what is its length?a)36 mb)24 mc)32 md)28 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980. If the width of the field is 23m, what is its length?a)36 mb)24 mc)32 md)28 mCorrect answer is option 'C'. Can you explain this answer?.
The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980. If the width of the field is 23m, what is its length?a)36 mb)24 mc)32 md)28 mCorrect answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980. If the width of the field is 23m, what is its length?a)36 mb)24 mc)32 md)28 mCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of fencing a rectangular field at Rs 18 per metre is Rs 1980. If the width of the field is 23m, what is its length?a)36 mb)24 mc)32 md)28 mCorrect answer is option 'C'. Can you explain this answer?.
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