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    A rectangular plot measuring 90 metres × 50 metres is to be enclosed by wire fencing. If thepoles of the fence are kept 5 metres apart, then how many
    Question

    A rectangular plot measuring 90 metres × 50 metres is to be enclosed by wire fencing. If thepoles of the fence are kept 5 metres apart, then how many poles will be needed? 

    A.

    55 

    B.

    56

    C.

    57

    D.

    58

    Correct option is B

    Let's break this down step by step.

    1. Find the perimeter of the plot:
      Since the plot is a rectangle with length = 90 metres and width = 50 metres, the perimeter is:
      2×(90+50)=2×140=280 metres2 \times (90 + 50) = 2 \times 140 = 280 \text{ metres}​​

    2. Determine the number of poles:
      The poles are placed every 5 metres, meaning the number of poles required is:
      2805=56\frac{280}{5} = 56​​

    Thus, the correct answer is (B) 56

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