LittleSongBird
Answered

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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.

1. 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.

2. How is the solution to this problem related to greatest common factor?

Sagot :

Answer:

2.=3

Step-by-step explanation:

AnswerHeros

Answer:

3 inches

Step-by-step explanation:

The dimension of interest is the greatest common factor of 12 and 27.

3 · 4 = 12  

3 · 9 = 27

The greatest common factor is 3.

Elena needs squares that are 3 inches on each side.

We need to find the common factor of 12 and 27 since they ask to find a square of the same sides. This plays a key part in making sure it fits in the shape correctly with no overlaps and gaps :)

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