To solve this problem you must apply the proccedure shown below:
1- Express six meters in centimeters:

2- You know that the shorter side shown in the picture of the rectangular room is 5 centimeters, which represents 600 centimeters, therefore the scale of the picture is:

3. Divide by 5 to simplify it:

3. To calculate the larger side (
)of the room , you need to keep on mind the scale obtained and multiply it by the larger side in the picture of the rectangular room:

Therefore, the answer is: The scale of the picture is 120:1 and the longer side of the room is 840 centimeters.