The actual length and width of a room is 18 feet by 12 feet. The length and width of scale drawing of the room is 12 inches by 8 inches. What is the drawing?

Question

the actual length and width of a room is 18 feet by 12 feet. The length and width of a scale drawing of the room is 12 inches by 8 inches. What is the scale of the drawing?

Answer 1

18 feet/12 inches=(18*12)/12=216/12=18 inches/1 inch or 1 inch on the scale drawing represents

18 inches or 1 1/2 ft in the room (or simply(18*12)/12=18/1)

 

12 feet/8 inches=(12*12)/8=144/8=18/1 again

 

 

Answer 2

Hi again Chris;

LENGTH...(18-feet)/(12-inches)

WIDTH...(12-feet)/(8-inches)

 

Let's note a common issue between the two equations...

(12)(1.5)=18

(8)(1.5)=12

 

Therefore...

 

LENGTH...(1.5-feet)/(1-inch)

WIDTH...(1.5-feet)/(1-inch)

 

The scale of the drawing is 1.5-feet is 1-inch.