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A scale drawing of a house that is 12 meters tall is being drawn with a scale of 2 cm = 3 m. How many centimeters tall is the scale drawing?​

User Adam Puza
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1 Answer

6 votes

The ratio of actual height to the scaled height is 3 meters : 2 centimeters.

We can set up a proportion to solve for the scaled height:

actual height / scaled height = 3 meters / 2 centimeters

Substituting the given values, we get:

12 meters / scaled height = 3 meters / 2 centimeters

Cross-multiplying, we get:

12 meters x 2 centimeters = 3 meters x scaled height

Simplifying, we get:

scaled height = (12 meters x 2 centimeters) / (3 meters)

scaled height = 24 centimeters / 3

scaled height = 8 centimeters

Therefore, the scale drawing is 8 centimeters tall.

User Kokx
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