Cutting The Paper

Logic Level 3

Suppose that I cut a rectangular piece of paper in straight lines of equal length, parallel to one of the edges. If it took me \(s\) seconds to cut a paper into \(k\) pieces, how long will it take me to cut another paper into \(4k\) pieces at the same rate?

Details and Assumptions:

  • A cut is defined to be the line from one edge to another.

  • Papers are clean and fresh as new!

  • \(k \geq 2\) is a positive integer, and \(s\) is a positive real number.

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