Final answer:
The dimensions of the actual floor are 24 feet by 18 feet, and the area of the actual floor is 432 square feet.
Step-by-step explanation:
To find the dimensions of the actual floor, we need to use the scale factor of 1 inch equals 3 feet. The drawing of the room is 8 inches long by 6 inches wide. So, to find the actual dimensions, we multiply the length and width of the drawing by the scale factor.
Length of the actual floor = 8 inches × 3 feet/inch = 24 feet
Width of the actual floor = 6 inches × 3 feet/inch = 18 feet
To find the area of the actual floor, we multiply the length and width.
Area of the actual floor = Length × Width = 24 feet × 18 feet = 432 square feet