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# 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?

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?

### 2 Answers by Expert Tutors

Arthur D. | Effective Mathematics TutorEffective Mathematics Tutor
5.0 5.0 (7 lesson ratings) (7)
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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

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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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.