Question

what is the scale factor from the original figure to the scaled copy?
2
what is the missing length in the scaled copy?
units
original
scaled copy

Explanation:

Step1: Find the scale factor

The scale factor is the ratio of the corresponding sides of the scaled copy to the original. 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 missing length be \(x\). We know that the ratio of the lengths (scale factor) is \(2\). The original length is \(34\).
Using the formula \(x = 34\times k\), substituting \(k = 2\)
\(x=34\times2 = 68\)

Answer:

The scale factor is \(2\) and the missing length is \(68\) units.