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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

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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.

This problem has been solved

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