Pilar made a scale drawing of a game room. The pool table is 2 inches long in the drawing. The actual pool table is 6 feet long. What is the scale factor of the drawing?
2:72
To find the scale factor of the drawing, we need to compare the length of the pool table in the drawing to its actual length.
Given:
Length of the pool table in the drawing = 2 inches
Actual length of the pool table = 6 feet
First, we need to convert the units to be consistent. Since 1 foot = 12 inches, we can convert the actual length from feet to inches:
Actual length of the pool table = 6 feet * 12 inches/foot = 72 inches
Now, to find the scale factor of the drawing, we divide the length of the pool table in the drawing by its actual length:
Scale factor = Length in the drawing / Actual length
Scale factor = 2 inches / 72 inches
Simplifying the fraction, we get:
Scale factor = 1/36
Therefore, the scale factor of the drawing is 1/36.