room: 8*6 = 48
carpet: 6*4 = 24
carpet: 6*4 = 24
Given that the room measures 8 m by 6 m, the dimensions of the carpet will be 2 meters less in both length and width due to the 1 m margin on all sides. Therefore, the dimensions of the carpet will be 6 m by 4 m.
To find the area of the carpet, multiply its length by its width:
Area of carpet = Length of carpet × Width of carpet = 6 m × 4 m = 24 m²
Now, to find the area of the room not covered by the carpet, subtract the area of the carpet from the total area of the room.
Total area of the room = Length of room × Width of room = 8 m × 6 m = 48 m²
Area not covered by the carpet = Total area of the room - Area of the carpet = 48 m² - 24 m² = 24 m²
Therefore, the area of the room not covered by the carpet is 24 square meters.