Final answer:
The dimensions of the rectangular room in the actual building are 48 feet by 22 feet.
Step-by-step explanation:
To find the dimensions of the rectangular room in the actual building, we need to use the scale factor given in the blueprint. The scale states that 1 inch on the blueprint is equivalent to 8 feet in the actual building.
First, we find the length of the room in the actual building by multiplying the length on the blueprint (6 inches) by the scale factor (8 feet/inch):
6 inches * 8 feet/inch = 48 feet
Next, we find the width of the room in the actual building by multiplying the width on the blueprint (2 3/4 inches) by the scale factor (8 feet/inch):
2 3/4 inches * 8 feet/inch = 22 feet
Therefore, the dimensions of the rectangular room in the actual building are 48 feet by 22 feet.