Fencing sheep
A farmer owns a plot of land that is 600 meters by 450 meters. He intends to let his sheep graze on this land, so has to fence up the perimeter. If he places a fence post every 6 meters, and has a fence post at every corner, how many fence posts would he need?
Details and assumptions
Each fence post is connected to 2 fences.
The answer is 350.
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1 solution
Since he has a fence post at each corner, each length of the land will require 6 6 0 0 + 1 = 1 0 1 fence posts, and each width of the land will require 6 4 5 0 + 1 = 7 6 fence posts. Summing this up, we get 2 × 1 0 1 + 2 × 7 6 = 3 5 4 . However, we've over counted the 4 corner posts, hence have to subtract 4 to obtain 3 5 4 − 4 = 3 5 0 .