Question

calculating scale factor given the scale drawings dimensions
consider the enlargement of the complex figure.
what can be concluded about the scale factor and missing measures? choose two correct answers.
subtract the scale factor from 18 and 24 to find a and bs lengths.
the scale factor is \\( \frac { 1 } { 3 } \\).
divide 24 by the scale factor to find bs length.

Explanation:

Step1: Calculate the scale factor

The scale factor is the ratio of the corresponding sides of the two similar figures. Here, if we consider the side of length \(42\) in the first figure and \(14\) in the second figure. The scale factor \(k=\frac{14}{42}=\frac{1}{3}\)

Step2: Find the length of \(B\)

If we assume the side of length \(24\) in the first figure corresponds to side \(B\) in the second figure. Using the scale - factor formula \(B = 24\times\frac{1}{3}=8\)

Answer:

The scale factor is \(\frac{1}{3}\) and to find \(B\)'s length, we divide \(24\) by the scale factor.