Question

consider this enlargement.
use the measurements of the scale drawing and original to calculate the scale factor, and then use the scale factor to find the length of side
what is the length of side b?
8×cm
×

Explanation:

Step1: Calculate the scale factor

The scale factor \(k\) is the ratio of the corresponding sides of the enlarged figure to the original figure. Here, the side of the enlarged figure is \(10\) cm and the corresponding side of the original figure is \(4\) cm. So, \(k=\frac{10}{4}=\frac{5}{2}\)

Step2: Find the length of side B

We know that if the scale factor is \(k\) and the length of a side in the original figure is \(a\), the length of the corresponding side in the enlarged figure \(b = k\times a\). The length of the corresponding side in the original figure for side B is \(8\) cm. So, \(b=\frac{5}{2}\times8\)

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Answer:

\(20\) cm