To find the actual area of the floor in square feet, we need to first determine the scale factor between the diagram and the actual floor dimensions.
Scale Factor = Actual Length / Length on Scale Drawing
For the longer side:
Scale Factor = 32 feet / 8 inches = 4 feet per inch.
Now, we need to use the scale factor to find the actual dimensions in feet:
Actual Length (Longer side) = 4 feet/inch * 5 inches = 20 feet
Actual Width (Shorter side) = 4 feet/inch * 8 inches = 32 feet
Now we can calculate the actual area of the floor:
Actual Area = Actual Length * Actual Width = 20 feet * 32 feet = 640 square feet
Therefore, the actual area of the rectangular classroom floor is 640 square feet.