Question

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

Explanation:

Step1: Find the scale factor

The scale factor is the ratio of the corresponding side lengths of the scaled copy to the original. For the given rectangles, the height of the original is \(10\) and the height of the scaled copy is \(20\).
Scale factor \(k=\frac{20}{10} = 2\)

Step2: Find the missing length

Let the length of the original be \(l_{1}=34\) and the length of the scaled copy be \(l_{2}\).
Since the scale factor \(k = 2\) and \(l_{2}=k\times l_{1}\)
\(l_{2}=2\times34\)
\(l_{2}=68\)

Answer:

The missing length is \(68\) units.