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The length of a rectangular plot is 15 metres more than its breadth. If the cost of fencing the plot is Rs. 2700 at the rate of Rs. 30 per metre, what is the length of the plot in metres?
- a)25
- b)35
- c)30
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The length of a rectangular plot is 15 metres more than its breadth. I...
The cost of fencing is Rs 2700 at the rate of Rs 30/m. So the perimeter of the plot is 2700/30 = 90m. Let breadth of plot is x, then length = x + 15.
Perimeter of plot = 90 ⇒ 2( x+ 15 +x) = 90 ⇒ 2x + 15 = 45 ⇒ x = 15. So the length = 15 + 15 = 30 m.
Most Upvoted Answer
The length of a rectangular plot is 15 metres more than its breadth. I...
To solve this problem, we can use the formula for the perimeter of a rectangle:
Perimeter = 2(length + breadth)
Let's assume that the breadth of the plot is x meters. According to the given information, the length of the plot is 15 meters more than its breadth. Therefore, the length would be (x + 15) meters.
We are also given that the cost of fencing the plot is Rs. 2700 at the rate of Rs. 30 per meter. This means that the total length of the fencing required is 2700/30 = 90 meters.
Now, we can substitute the values into the perimeter formula:
90 = 2(x + 15 + x)
Simplifying the equation:
90 = 2(2x + 15)
45 = 2x + 15
30 = 2x
x = 15
Therefore, the breadth of the plot is 15 meters.
Now, to find the length of the plot:
Length = breadth + 15
Length = 15 + 15
Length = 30 meters
So, the correct answer is option C) 30 meters.
Perimeter = 2(length + breadth)
Let's assume that the breadth of the plot is x meters. According to the given information, the length of the plot is 15 meters more than its breadth. Therefore, the length would be (x + 15) meters.
We are also given that the cost of fencing the plot is Rs. 2700 at the rate of Rs. 30 per meter. This means that the total length of the fencing required is 2700/30 = 90 meters.
Now, we can substitute the values into the perimeter formula:
90 = 2(x + 15 + x)
Simplifying the equation:
90 = 2(2x + 15)
45 = 2x + 15
30 = 2x
x = 15
Therefore, the breadth of the plot is 15 meters.
Now, to find the length of the plot:
Length = breadth + 15
Length = 15 + 15
Length = 30 meters
So, the correct answer is option C) 30 meters.
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The length of a rectangular plot is 15 metres more than its breadth. If the cost of fencing the plot is Rs. 2700 at the rate of Rs. 30 per metre, what is the length of the plot in metres? a)25b)35c)30d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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