Question

what is the scale factor from the original figure to the scaled copy?
original: 6, 2
scaled copy: ?, 8
(accompanied by diagrams of original and scaled rectangles)

Explanation:

Step1: Find the scale factor using the known sides

The original side length is 2, and the scaled copy side length is 8. The scale factor \( k \) is calculated by dividing the scaled length by the original length. So \( k=\frac{8}{2} = 4 \).

Step2: Calculate the unknown scaled length

The original length for the other side is 6. To find the scaled length, multiply the original length by the scale factor. So the scaled length is \( 6\times4 = 24 \).

Answer:

The scale factor is 4, and the unknown length in the scaled copy is 24.