The scale drawing of the rectangular classroom floor has dimensions of 8 inches by 5 inches. The actual length of the longer side of the floor is 32 feet. What is the actual area of the floor in square feet? (2 points)
To find the actual area of the floor in square feet, we need to first determine the scale of the drawing.
The scale of the drawing can be found by dividing the actual length of the longer side of the floor by the length of the longer side of the scale drawing:
Scale = Actual Length / Length of Scale Drawing
Scale = 32 feet / 8 inches = 4
Next, we need to calculate the actual dimensions of the floor by multiplying the dimensions of the scale drawing by the scale:
Actual Length = 8 inches * 4 = 32 inches = 2.67 feet
Actual Width = 5 inches * 4 = 20 inches = 1.67 feet
Finally, we can calculate the actual area of the floor in square feet by multiplying the actual length by the actual width:
Actual Area = Actual Length * Actual Width
Actual Area = 2.67 feet * 1.67 feet = 4.45 square feet
Therefore, the actual area of the floor is 4.45 square feet.