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Manish fixed 48 poles in order to fence a square. If the distance between 2 poles is 5 m, then what will be the area of the square, formed?
Question

Manish fixed 48 poles in order to fence a square. If the distance between 2 poles is 5 m, then what will be the area of the square, formed?

A.

3200 m2

B.

3600 m2

C.

3500 m2

D.

4000 m2

Correct option is B

Given:
Total poles used = 48
Distance between two consecutive poles = 5 meters
Concept Used:
In a square fence, poles are placed along all four sides. Since the four corner poles are counted once per side, the number of intervals (spaces) between poles along the perimeter is 48.
Formula Used:
Perimeter of the square = (Number of poles) × (Distance between poles)
Side of the square = Perimeter4\frac{\text{Perimeter}}{4}​​
Area of the square = (Side)2(\text{Side})^2​​
Solution:
Calculating the perimeter:
Perimeter = 48 × 5 = 240 meters
Now,
Side = 2404\frac{240}{4}​ = 60 meters
So, the area:
Area = 60260^2​ = 3600 square meters
Thus, The area of the square is 3600 square meters.

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