It would be a very small room. More like a closet. Try 1 meter by 3 meter, or 1.5 meter by 2 meter both would make 3 square meters.
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A room 3.1 meters x 3.4 meters has an area of 10.54 square meters.
A room that is 12 square meters is 3 meters by 4 meters in size, or about 3.46 meters square.
9.29 square meters
Area of a Rectangle = Length x Width 5m x 5m = 25m2 Assuming that the room is rectangular and each dimension (width/height) are at least 5m then yes; if either dimension is less than 5m, it will not fit even tho the area of the rug is less than the area of the room.
15*10 = 150 square meters