The length of a classroom is 30 ft. What is the scale factor if the length of the classroom on the scale drawing is 3.6 inches?

3.6/30 = 1/x

30/3.6 = 8.3333

1 inch = 8 1/3 feet

To find the scale factor between the actual length of the classroom and the length on the scale drawing, we need to divide the actual length by the length on the scale drawing.

Actual Length of the Classroom: 30 ft
Length on the Scale Drawing: 3.6 inches

First, let's convert the actual length of the classroom to inches since the length on the scale drawing is also in inches. Since there are 12 inches in a foot, we can multiply the actual length by 12 to convert it to inches:

Actual Length in Inches = 30 ft * 12 inches/ft = 360 inches

Now we can calculate the scale factor by dividing the actual length in inches by the length on the scale drawing:

Scale Factor = Actual Length in Inches / Length on Scale Drawing
Scale Factor = 360 inches / 3.6 inches = 100

Therefore, the scale factor is 100.