Clayton drew a scale drawing of a hotel. The scale of the drawing was 1 inch : 8 feet. A room in the hotel is 3 inches long in the drawing. How long is the actual room?
feet
If the scale of the drawing is 1 inch to 8 feet, then the length of the actual room can be found by multiplying the length in the drawing by the scale factor.
Scale factor = actual length / length in the drawing
The length in the drawing is 3 inches.
Scale factor = (actual length) / 3 inches
Since 1 inch in the drawing represents 8 feet, the scale factor is 8 feet / 1 inch.
Scale factor = 8 feet / 1 inch = 8
(Actual length) / 3 inches = 8
Cross multiplying:
(Actual length) = 3 inches * 8
(Actual length) = 24 inches
Therefore, the actual length of the room is 24 inches.