To solve this problem you must apply the proccedure shown below:
1- Express six meters in centimeters:
[tex]6m=600cm[/tex]
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:
[tex]600:5[/tex]
3. Divide by 5 to simplify it:
[tex]120:1[/tex]
3. To calculate the larger side ([tex]L[/tex])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:
[tex]L=(7cm)(120)=840cm[/tex]
Therefore, the answer is: The scale of the picture is 120:1 and the longer side of the room is 840 centimeters.