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A farmer built a fence around his square plot. He used 27 fence poles on each side of the square. How many poles did he need altogether ?
  • a)
    100
  • b)
    104
  • c)
    108
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A farmer built a fence around his square plot. He used 27 fence poles ...
Since each pole at the corner of the plot is common to its two sides, so we have :
Total number of poles needed = 27 x 4 - 4 = 108 - 4 = 104.
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Most Upvoted Answer
A farmer built a fence around his square plot. He used 27 fence poles ...
Understanding the Problem
The farmer has a square plot and uses fence poles to build a fence around it. Each side of the square requires 27 fence poles. We need to calculate the total number of poles used.
Calculating Total Poles
1. Number of Sides in a Square:
A square has 4 sides.
2. Poles per Side:
The farmer uses 27 poles for each side.
3. Total Calculation:
To find the total poles, we multiply the number of sides by the number of poles per side:
Total Poles = Number of Sides × Poles per Side
Total Poles = 4 × 27
Performing the Calculation
- Total Poles = 4 × 27 = 108
Considering Shared Poles
However, when constructing a fence, the corner poles are shared between two sides. Each corner pole counts for both adjacent sides. Since a square has 4 corners, we need to adjust our total:
1. Initial Total: 108 poles (if counted without sharing).
2. Adjusting for Shared Poles:
We have counted each corner pole twice. Therefore, we subtract the 4 extra counts:
Total Effective Poles = Total Initial Poles - Corners = 108 - 4 = 104
Final Answer
Thus, the total number of fence poles needed for the square plot is 104, which corresponds to option 'B'.
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