A rectangular piece of carpet is place on the floor of a rectangular room leaving a margin of 1 m around it. If the room measures 8 m by 6 m find the area of the room not covered by the carpet.
room: 8*6 = 48
carpet: 6*4 = 24
26yd2
This 2- 2 = 0
To find the area not covered by the carpet, we first need to calculate the area of the carpet.
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.