To solve this problem you must apply the proccedure shown below:
1. You have that the dimensions of the picture in meters is:

2. As you can see, the shorter side of the picture is
.
3. Then, if the shorter side of the room is
, you can find the scale of the picture by dividing the shorter side of the room by the shorter side of the picture, as following:
or
4. Then, you can calculate the longer side of the room by multiplying
by the longer side of the picture:

Therefore, the answer is: The scale of the picture is
and the longer side of the room is
.