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?

1 answer

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.