How many arrays are there for modeling a rectangular quilt with 24 paper squares?
To find out the number of arrays for modeling a rectangular quilt with 24 paper squares, we need to determine all the possible combinations of dimensions (length and width) that can be used to form a rectangular shape.
The first step is to list all the factors of the number 24. Factors are the numbers that can divide into a given number evenly, without leaving a remainder.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24.
Now we can combine these factors to form different dimensions for the rectangular quilt. For example, if we choose length = 1 and width = 24, we would have a 1x24 array. Similarly, if we choose length = 2 and width = 12, we would have a 2x12 array, and so on.
Here are all the possible arrays for a rectangular quilt with 24 paper squares:
1x24, 2x12, 3x8, 4x6, 6x4, 8x3, 12x2, and 24x1.
Hence, there are 8 different arrays for modeling a rectangular quilt with 24 paper squares.