A house owner built a fence around his square plot. He used 37 fence poles on each side. How many poles did he need altogether?

A house owner built a fence around his square plot. He used 37 fence poles on each side. How many poles did he need altogether? Correct Answer 144

The logic followed is:

Firstly place 4 poles at 4 corners because every corner is common between 2 sides.

If we place poles at every corner then we need 35 poles on each side to make 37 poles in total on every sides.

(35 × 4) + 4 = 144 poles.

Shortcut Trick

If n is number of poles to be placed on each side then,

Total number of poles = (n - 2) × number of sides + number of corners. 

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