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a model of a building is constructed using a scale of 1 inch : 4.5 feet…

Question

a model of a building is constructed using a scale of 1 inch : 4.5 feet. if the model is 12 inches tall, how tall is the actual building? ? feet

Explanation:

Step1: Identify the scale - factor relationship

The scale is 1 inch represents 4.5 feet.

Step2: Set up the proportion

Let $x$ be the height of the actual building. We have the proportion $\frac{1}{4.5}=\frac{12}{x}$.

Step3: Cross - multiply and solve

$1\times x = 4.5\times12$. So $x = 54$.

Answer:

54