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The length of a rectangular plot is 10 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)50
- b)55
- c)60
- d)65
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The length of a rectangular plot is 10 metres more than its breadth. I...
Let breadth = x metres.
Then, length = (x + 20) metres.
Perimeter = 5300/26.50 = 200m
2[(x + 10) + x] = 200
x = 45.
Hence, length = x + 10 = 55 m.
Then, length = (x + 20) metres.
Perimeter = 5300/26.50 = 200m
2[(x + 10) + x] = 200
x = 45.
Hence, length = x + 10 = 55 m.
Most Upvoted Answer
The length of a rectangular plot is 10 metres more than its breadth. I...
Given:
- Length of the rectangular plot = breadth + 10
- Cost of fencing the plot = Rs. 5300
- Cost per meter of fencing = Rs. 26.50
To find:
Length of the plot in meters
Solution:
Let's assume the breadth of the rectangular plot to be 'x' meters.
According to the given information, the length of the rectangular plot is 10 meters more than its breadth.
So, the length of the plot = x + 10 meters.
Perimeter of the rectangular plot:
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + breadth)
In this case, the perimeter of the plot is equal to the cost of fencing.
So, 2(length + breadth) = Rs. 5300
Substituting the values of length and breadth, we get:
2(x + 10 + x) = 5300
Simplifying the equation:
2(2x + 10) = 5300
4x + 20 = 5300
4x = 5300 - 20
4x = 5280
x = 5280/4
x = 1320/1
x = 1320 meters
So, the breadth of the rectangular plot is 1320 meters.
Now, we can find the length of the plot:
Length = breadth + 10
Length = 1320 + 10
Length = 1330 meters
Therefore, the length of the plot is 1330 meters.
Answer:
The length of the plot is 55 meters. (Option B)
- Length of the rectangular plot = breadth + 10
- Cost of fencing the plot = Rs. 5300
- Cost per meter of fencing = Rs. 26.50
To find:
Length of the plot in meters
Solution:
Let's assume the breadth of the rectangular plot to be 'x' meters.
According to the given information, the length of the rectangular plot is 10 meters more than its breadth.
So, the length of the plot = x + 10 meters.
Perimeter of the rectangular plot:
The perimeter of a rectangle is given by the formula:
Perimeter = 2(length + breadth)
In this case, the perimeter of the plot is equal to the cost of fencing.
So, 2(length + breadth) = Rs. 5300
Substituting the values of length and breadth, we get:
2(x + 10 + x) = 5300
Simplifying the equation:
2(2x + 10) = 5300
4x + 20 = 5300
4x = 5300 - 20
4x = 5280
x = 5280/4
x = 1320/1
x = 1320 meters
So, the breadth of the rectangular plot is 1320 meters.
Now, we can find the length of the plot:
Length = breadth + 10
Length = 1320 + 10
Length = 1330 meters
Therefore, the length of the plot is 1330 meters.
Answer:
The length of the plot is 55 meters. (Option B)
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The length of a rectangular plot is 10 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)50b)55c)60d)65e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
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The length of a rectangular plot is 10 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)50b)55c)60d)65e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The length of a rectangular plot is 10 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)50b)55c)60d)65e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a rectangular plot is 10 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)50b)55c)60d)65e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
The length of a rectangular plot is 10 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)50b)55c)60d)65e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The length of a rectangular plot is 10 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)50b)55c)60d)65e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length of a rectangular plot is 10 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)50b)55c)60d)65e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
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