The length and width of a rectangle are whole numbers of centimeters. neither is divisible by 6. the area of the rectangle is 36 square centimeters. what is the perimeter of the rectangle, in centimeters?

For this case we have:

The area of a rectangle is given by:

Where "a" is the largest side

"b" is the minor side

On the other hand, the perimeter is given by:

If we have:

We must look for two whole numbers not divisible by 6, that when multiplied give 36.

, but 6 is divisible by 6

, but 18 is divisible by 6

, but 12 is divisible by 6

We know that , 9 or 4 are divisible by 6.

Thus, the perimeter is given by:

26cm