3. Find all of the factors of 28 and 12. Then, identify the greatest common factor of 28 and 12. 11.28 2,2,3x96,12 1.2 4. A rectangular bulletin board is 12 inches tall and 27 inches wide. Elena 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. a. What is the side length of the largest square that Elena could use to cover the bulletin board completely without gaps and overlaps? Explain or show your reasoning. b. How is the solution to this problem related to greatest common factor?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.1: Area And Initial Postulates
Problem 29E: A square yard is a square with sides 1 yard in length. a How many square feet are in 1 square yard?...
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I need help on 4a, 4b

3. Find all of the factors of 28 and 12. Then, identify the greatest common factor of 28 and
12.
11.28
2,2,3x96,12
1.2
4. A rectangular bulletin board is 12 inches tall and 27 inches wide. Elena 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.
a. What is the side length of the largest square that Elena could use to cover the
bulletin board completely without gaps and overlaps? Explain or show your
reasoning.
b. How is the solution to this problem related to greatest common factor?
Transcribed Image Text:3. Find all of the factors of 28 and 12. Then, identify the greatest common factor of 28 and 12. 11.28 2,2,3x96,12 1.2 4. A rectangular bulletin board is 12 inches tall and 27 inches wide. Elena 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. a. What is the side length of the largest square that Elena could use to cover the bulletin board completely without gaps and overlaps? Explain or show your reasoning. b. How is the solution to this problem related to greatest common factor?
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