Answer:
The possible arrays are: (1,28) , (2,14) , (4,7)) , (7,4) , (14,2) and (28,1)
Explanation:
Here, the total number of solar panels to be installed = 28
Let us assume the installed array has m rows and n columns.
Now, the total panels installed = Number of rows x Number of columns
or, 28 = m n
The following cases are possible for array:
(a) When m = 1, n = 28 (as m x n = 28)
So, here array has 1 row with 28 columns.
(b) When m = 2, n = 14 (as m x n = 28)
So, here array has 2 row with 14 columns.
(c) When m = 4, n = 7 (as m x n = 28)
So, here array has 4 row with 7 columns.
(d) When m = 7, n = 4 (as m x n = 28)
So, here array has 7 row with 4 columns.
(e) When m = 14, n = 2 (as m x n = 28)
So, here array has 14 row with 2 columns.
(f) When m = 28, n = 1 (as m x n = 28)
So, here array has 28 row with 1 columns.