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The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs 5300, what is the length of the plot in metres?
  • a)
    40
  • b)
    50
  • c)
    120
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The length of a rectangular plot is 20 metres more than its breadth. I...
Let breadth = x metres.
Then, length = (x + 20) metres.
Perimeter = (5300/26.50) m = 200 m
∴ 2[(x + 20) + x] = 200
⇒ 2x + 20 = 100
⇒ 2x = 80
⇒ x = 40
Hence, length = x + 20 = 60 m.
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Most Upvoted Answer
The length of a rectangular plot is 20 metres more than its breadth. I...
Given data:
- Cost of fencing the plot: Rs 5300
- Cost per metre of fencing: Rs 26.50
- Length of the plot is 20 metres more than its breadth

Let's assume:
- Let the breadth of the plot be x metres
- Therefore, the length of the plot will be (x+20) metres

Calculating the total cost of fencing:
- Perimeter of a rectangular plot = 2(length + breadth)
- Cost of fencing = Perimeter * Cost per metre
- 5300 = 2[(x+20) + x] * 26.50
- 5300 = 2(2x + 20) * 26.50
- 5300 = (4x + 40) * 26.50
- 5300 = 106x + 1060
- 106x = 4240
- x = 40

Therefore, the length of the plot is:
- Length = x + 20 = 40 + 20 = 60 metres

Conclusion:
- The length of the plot is 60 metres. Hence, option 'D' (None of these) is the correct answer.
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The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per metre is Rs 5300, what is the length of the plot in metres?a)40b)50c)120d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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