How many arrays are there for modeling a rectangular quilt with 24 paper squares?
please help
To find the number of arrays for modeling a rectangular quilt with 24 paper squares, we need to consider the possible dimensions of the quilt.
First, let's list down the all possible pairs of factors for the number 24:
1 x 24, 2 x 12, 3 x 8, 4 x 6
Each pair represents a possible length and width combination for the quilt.
Now, let's calculate the total number of arrays by multiplying the number of possible lengths by the number of possible widths for each pair:
1 x 24 = 24 arrays
2 x 12 = 24 arrays
3 x 8 = 24 arrays
4 x 6 = 24 arrays
Now, let's sum up the total number of arrays: 24 + 24 + 24 + 24 = 96
So, there are 96 arrays possible for modeling a rectangular quilt with 24 paper squares.