For this case we have:
The area of a rectangle is given by: [tex]A = a * b[/tex]
Where "a" is the largest side
"b" is the minor side
On the other hand, the perimeter is given by:
[tex]P = 2a + 2b[/tex]
If we have:
[tex]A = a * b\\36 = a * b[/tex]
We must look for two whole numbers not divisible by 6, that when multiplied give 36.
[tex]6 * 6 = 36[/tex], but 6 is divisible by 6
[tex]18 * 2 = 36[/tex], but 18 is divisible by 6
[tex]12 * 3 = 36[/tex], but 12 is divisible by 6
We know that [tex]9 * 4 = 36[/tex], 9 or 4 are divisible by 6.
[tex]a = 9\\b = 4[/tex]
Thus, the perimeter is given by:
[tex]P = 2 (9) +2 (4)\\P = 18 + 8\\P = 26cm[/tex]
Answer:
26cm
