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Poles are to be created along the boundary of a rectangular field in such a way that distance between any two adjacent poles is 1.5 metres. The perimeter of the field is 21 metres and length and the breadth are in the ratio of 4:3 respectively. How many poles will be required?
  • a)
    14
  • b)
    16
  • c)
    15
  • d)
    20
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Poles are to be created along the boundary of a rectangular field in s...
Let the length and breadth be 4x and 3x metres respectively.
2(4x + 3x) = 21
⇒ 14x = 21
⇒ x = 21/14 = 1.5
Length = 6m and Breadth = 4.5m

So number of poles = 14
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Most Upvoted Answer
Poles are to be created along the boundary of a rectangular field in s...
Given information:
- Distance between any two adjacent poles = 1.5 m
- Perimeter of the field = 21 m
- Length : Breadth = 4 : 3

To find:
Number of poles required to create along the boundary of a rectangular field

Solution:
Let's assume the length of the rectangular field to be 4x and its breadth to be 3x.
Then, the perimeter of the rectangular field can be calculated as:
Perimeter = 2(Length + Breadth)
21 = 2(4x + 3x)
21 = 14x
x = 1.5 m

Therefore, the length of the rectangular field is 6 m and its breadth is 4.5 m.

Now, we need to calculate the number of poles required to create along the boundary of the rectangular field. We can do this by dividing the perimeter of the rectangular field by the distance between any two adjacent poles.
Number of poles required = Perimeter / Distance between any two adjacent poles
Number of poles required = 21 / 1.5
Number of poles required = 14

Hence, the correct answer is option A, which is 14 poles.
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Poles are to be created along the boundary of a rectangular field in such a way that distance between any two adjacent poles is 1.5 metres. The perimeter of the field is 21 metres and length and the breadth are in the ratio of 4:3 respectively. How many poles will be required?a) 14 b) 16 c) 15 d) 20 Correct answer is option 'A'. Can you explain this answer?
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