Question

1. an architect designs a skyscraper that is 100 meters wide. if the scale factor for the model is 0.05, what is the width of the model? a. 5 meters b. 4 meters c. 6 meters d. 3 meters

Explanation:

Step1: Recall scale - factor formula

The formula for the scale - factor is $\text{Scale factor}=\frac{\text{Model dimension}}{\text{Actual dimension}}$. We want to find the model dimension, and we know the actual dimension and the scale factor.

Step2: Rearrange the formula

We can rewrite the formula as $\text{Model dimension}=\text{Scale factor}\times\text{Actual dimension}$.

Step3: Substitute values

The actual width of the skyscraper is 100 meters and the scale factor is 0.05. So, $\text{Model width}=0.05\times100$.

Step4: Calculate

$0.05\times100 = 5$ meters.

Answer:

a. 5 meters