Problem:
A rectangular grazing area is to be fenced off on three sides using part of a meter rock wall as the fourth side. Fence posts are to be placed every meters along the fence including the two posts where the fence meets the rock wall. What is the fewest number of posts required to fence an area by
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Solution:
The fewest number of posts is used if the wall serves as the longer side of the rectangular grazing area. Thus there are posts on the meter side (including the corners) and more posts on each meter side for a total of posts.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions