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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 breadth ofthe plot in metres?
- a)60
- b)40
- c)80
- d)None of these
Correct answer is option 'B'. 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 = total cost / rate of fencing = 5300/ 26.50 = 200m
Thus, 2[(x + 20) +x] = 200 => 2x + 20 = 100 => 2x = 80 => x = 40. Hence, breadth =x = 40m.
Most Upvoted Answer
The length of a rectangular plot is 20 metres more than its breadth. I...
Given information:
- The cost of fencing the plot is Rs. 5300.
- The cost per meter of fencing is Rs. 26.50.
- The length of the rectangular plot is 20 meters more than its breadth.
Let's assume the breadth of the plot to be 'x' meters.
According to the given information, the length of the plot would be 'x + 20' meters.
To find the perimeter of the plot, we need to calculate the sum of all four sides.
The formula for the perimeter of a rectangle is:
Perimeter = 2(length + breadth)
Let's calculate the perimeter of the plot using the given values:
Perimeter = 2(x + 20 + x)
Perimeter = 4x + 40
According to the given information, the cost of fencing the plot is Rs. 5300, and the cost per meter of fencing is Rs. 26.50.
So, we can set up the equation:
Cost of fencing = Perimeter * Cost per meter
Let's substitute the values and solve the equation:
5300 = (4x + 40) * 26.50
Dividing both sides of the equation by 26.50:
200 = 4x + 40
Subtracting 40 from both sides of the equation:
160 = 4x
Dividing both sides of the equation by 4:
40 = x
Therefore, the breadth of the plot is 40 meters.
Hence, the correct answer is option 'B' - 40 meters.
- The cost of fencing the plot is Rs. 5300.
- The cost per meter of fencing is Rs. 26.50.
- The length of the rectangular plot is 20 meters more than its breadth.
Let's assume the breadth of the plot to be 'x' meters.
According to the given information, the length of the plot would be 'x + 20' meters.
To find the perimeter of the plot, we need to calculate the sum of all four sides.
The formula for the perimeter of a rectangle is:
Perimeter = 2(length + breadth)
Let's calculate the perimeter of the plot using the given values:
Perimeter = 2(x + 20 + x)
Perimeter = 4x + 40
According to the given information, the cost of fencing the plot is Rs. 5300, and the cost per meter of fencing is Rs. 26.50.
So, we can set up the equation:
Cost of fencing = Perimeter * Cost per meter
Let's substitute the values and solve the equation:
5300 = (4x + 40) * 26.50
Dividing both sides of the equation by 26.50:
200 = 4x + 40
Subtracting 40 from both sides of the equation:
160 = 4x
Dividing both sides of the equation by 4:
40 = x
Therefore, the breadth of the plot is 40 meters.
Hence, the correct answer is option 'B' - 40 meters.
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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 breadth ofthe plot in metres?a)60b)40c)80d)None of theseCorrect answer is option 'B'. Can you explain this 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 breadth ofthe plot in metres?a)60b)40c)80d)None of theseCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 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 breadth ofthe plot in metres?a)60b)40c)80d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 breadth ofthe plot in metres?a)60b)40c)80d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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 breadth ofthe plot in metres?a)60b)40c)80d)None of theseCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 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 breadth ofthe plot in metres?a)60b)40c)80d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 breadth ofthe plot in metres?a)60b)40c)80d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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