Question

In art class, the students each made rectangular quilts using 24 paper squares. They then glued a button onto each square and decorated the squares with markers.1. Create all of the possible arrays for modeling a rectangular quilt with the 24 paper squares. Write an equation to accompany each array. 2. Could the students use 24 paper squares to make quilts with 5 rows of paper squares? How do you know? Use an array to help explain your

Answer 1

Answer:

1.

24 rows and 1 column

12 rows and 2 columns

8 rows and 3 columns

6 rows and 4 columns

2. No, you couldn't use 24 paper squares to make quilts with 5 rows.

Explanation:

If the total number of squares is 24, the possible arrays for modeling a rectangular quilt will be the possible pairs of numbers that multiply to 24. So, these arrays are

24 rows and 1 column of paper squares

12 rows and 2 columns of paper squares

8 rows and 3 columns of paper squares

6 rows and 4 columns of paper squares

On the other hand, the students couldn't use 24 papers squares to make quilts with 5 rows of paper squares because 5 doesn't divide 24 and we can see in the following diagram, that the quilt will be incomplete with 24 paper squares

Therefore, the answers are:

1. 24 rows and 1 column

12 rows and 2 columns

8 rows and 3 columns

6 rows and 4 columns

2. No, you couldn't use 24 paper squares to make quilts with 5 rows.