Beth drew a scale drawing of a house. She used the scale 8 millimeters : 3 meters. The actual width of the garage is 9 meters. How wide is the garage in the drawing? millimeters
Question
Beth drew a scale drawing of a house. She used the scale 8 millimeters : 3 meters. The actual width of the garage is 9 meters. How wide is the garage in the drawing? millimeters
Solution
To solve this problem, we need to set up a proportion using the given scale and the actual width of the garage.
The given scale is 8 millimeters : 3 meters. This means that 8 millimeters on the drawing represents 3 meters in real life.
We can set up the proportion as follows:
8 mm / 3 m = x mm / 9 m
To solve for x, which represents the width of the garage on the drawing, we cross-multiply:
8 mm * 9 m = 3 m * x mm
72 mm = 3x
Then, divide both sides by 3 to solve for x:
x = 72 mm / 3 = 24 mm
So, the width of the garage on the drawing is 24 millimeters.
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