Both rooms share a common side whose dimension is unknown. Call it x.
Then, the area of both squares have x as common factor.
So, x is the greatest common factor of 104 and 130.
You should know how to calculate the greatest common factor of two integers.
Just find the prime factors and choose the common factors raised to the lowest exponent.
104 = (2^3) (13)
130 = (2) (5)(13)
=> the greatest common factor is 2 * 13 = 26, and that is the greatest possible integer length of the shared wall.
Answer: 26
I wrote my decision on a piece of paper.
Answer:
when the radicand is negative
Step-by-step explanation: