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Problem 18 (1986 AJHSME)

AJHSMEEasy

From module Arithmetic and Number Theory Basics

Problem

A rectangular grazing area is to be fenced off on three sides using part of a 100100 meter rock wall as the fourth side. Fence posts are to be placed every 1212 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 3636 m by 6060 m?

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