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Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the college is 96 millimeters wide in the drawing, how wide is the actual building? meters

Question

Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the college is 96 millimeters wide in the drawing, how wide is the actual building? meters

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Solution

To solve this problem, we need to set up a proportion using the scale provided and the information about the width of the building in the drawing.

The scale is 3 millimeters : 2 meters. This means that 3 millimeters on the drawing represents 2 meters in real life.

We know that the building is 96 millimeters wide in the drawing. We can set up the following proportion to find out how wide the building is in real life:

3 mm : 2 m = 96 mm : x m

To solve for x, we can cross-multiply:

3 * x = 96 * 2

3x = 192

Then, divide both sides by 3 to solve for x:

x = 192 / 3

x = 64

So, the actual width of the building is 64 meters.

This problem has been solved

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