Question

what is the scale factor from the original figure to the scaled copy? what is the missing length in the scaled copy? units

Explanation:

Step1: Find the scale factor

The scale factor \(k\) is the ratio of the corresponding sides of the scaled copy to the original. For the height, original height \(h_{original}=2\), scaled height \(h_{scaled}=8\).
\(k=\frac{h_{scaled}}{h_{original}}=\frac{8}{2} = 4\)

Step2: Find the missing length

The original length \(l_{original}=6\). Using the scale - factor formula \(l_{scaled}=k\times l_{original}\)
Since \(k = 4\) and \(l_{original}=6\), then \(l_{scaled}=4\times6=24\)

Answer:

The scale factor is \(4\) and the missing length in the scaled copy is \(24\) units.