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3. scale factor = ______ 200 ft original 800 ft 50 ft 200 ft

Question

  1. scale factor = ______ 200 ft original 800 ft 50 ft 200 ft

Explanation:

Step1: Identify corresponding sides

We take the height of the original rectangle (200 ft) and the height of the scaled rectangle (50 ft), or the length of the original (800 ft) and the length of the scaled (200 ft).

Step2: Calculate scale factor

Scale factor is the ratio of the scaled length to the original length. Using the heights: $\frac{50}{200}=\frac{1}{4}$, or using the lengths: $\frac{200}{800}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$