Final answer:
To find the width of the strip left exposed around a rug in a room that measures 5 meters by 8 meters, calculate the total exposed area by subtracting the rug's area from the room's area, then divide by the rug's perimeter to find the strip's uniform width.
Step-by-step explanation:
The question is asking how wide the strip of floor that is left exposed around a rug is when the rug covers a part of a room that has dimensions of 5 meters by 8 meters. To find the width of the strip, we need to determine how much floor area is covered by the rug and how much is left uncovered, then calculate the uniform width of the uncovered strip around the rug.
The area of the room is simply length × width, which is 5 m × 8 m = 40 m². If the rug covers a certain fraction of this area, the remainder would be the area of the exposed strip. After establishing the total area of the exposed strip, we divide this by the perimeter of the rug to find the uniform width of the strip.