Luca made a scale drawing of the auditorium. In real life, the stage is 45 feet long. It is 18 inches long in the drawing. What is the scale of the drawing?2 inches : feetSubmit
Question
Luca made a scale drawing of the auditorium. In real life, the stage is 45 feet long. It is 18 inches long in the drawing. What is the scale of the drawing?2 inches : feetSubmit
Solution
To find the scale of the drawing, we need to set up a ratio between the length on the drawing and the actual length.
Step 1: Convert the real life measurement to the same units as the drawing. In this case, we need to convert feet to inches since the drawing is measured in inches. There are 12 inches in a foot, so 45 feet is 45 * 12 = 540 inches.
Step 2: Set up the ratio. The length on the drawing is 18 inches and the actual length is 540 inches. So, the ratio is 18 inches (drawing) : 540 inches (real life).
Step 3: Simplify the ratio. Divide both numbers by the smallest number, which is 18.
18/18 : 540/18 = 1 : 30
So, the scale of the drawing is 1 inch : 30 feet.
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