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?
First, we need to determine the scale factor used in the scale drawing.
Scale factor = actual length / length in drawing
Scale factor = 32 ft / 8 in = 48
Now, we need to use this scale factor to find the actual width of the classroom floor:
Actual width = scale factor x width in drawing
Actual width = 48 x 5 in = 240 inches
Actual width = 240 inches / 12 inches/ft = 20 feet
Now that we have the actual length and width of the classroom floor, we can calculate the actual area:
Actual area = actual length x actual width
Actual area = 32 ft x 20 ft = 640 square feet
Therefore, the actual area of the classroom floor is 640 square feet.