29. A rectangular bulletin board is 12 inches tall and 27 inches wide. Alex plans to cover it with squares of colored paper that are all the same size. The paper squares come in different sizes; all of them have whole-number inches for their side lengths. What is the side length of the largest square that Alex could use to cover the bulletin board completely without gaps and overlaps? Explain or show your reasoning. How is the solution of this problem related to the greatest common factor?

29. A rectangular bulletin board is 12 inches tall and 27 inches wide. Alex plans to cover it with squares of colored paper that are all the same size. The paper squares come in different sizes; all of them have whole-number inches for their side lengths. What is the side length of the largest square that Alex could use to cover the bulletin board completely without gaps and overlaps? Explain or show your reasoning. How is the solution of this problem related to the greatest common factor?

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter8: Areas Of Polygons And Circles

Section8.CR: Review Exercises

Problem 40CR

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