Final answer:
The perimeter of the room is 15 meters.
Step-by-step explanation:
The formula to find the perimeter of a rectangle is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. Given that the length is 4.5 meters and the width is 3 meters, we can substitute these values into the formula to find the perimeter.
P = 2(4.5) + 2(3) = 9 + 6 = 15 meters.
Therefore, the correct option is a) 15 meters.