Question

1. scale factor = ____

(image shows two rectangles: top labeled \original\ with 200 ft (width) and 800 ft (length); bottom smaller rectangle with 50 ft (width) and 200 ft (length))

Explanation:

Step1: Identify corresponding sides

Original length: 800 ft, New length: 200 ft (or original width: 200 ft, new width: 50 ft). Let's use length.

Step2: Calculate scale factor

Scale factor = New length / Original length = \( \frac{200}{800} \)

Step3: Simplify the fraction

\( \frac{200}{800} = \frac{1}{4} \) (or using width: \( \frac{50}{200} = \frac{1}{4} \))

Answer:

\( \frac{1}{4} \)