Question

8×?=4
scale factor
length in original
length in 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. Given that one side of the original is \(18\) and the corresponding side of the scaled - copy is \(8\). The formula for the scale factor \(k\) is \(k=\frac{\text{length in scaled copy}}{\text{length in original}}\). So \(k = \frac{8}{18}=\frac{4}{9}\).

Step2: Find the unknown length in the scaled copy

Let the unknown length in the scaled copy be \(x\). We know that the scale factor \(k=\frac{4}{9}\), and the corresponding length in the original is \(9\). Using the formula \(x = k\times\text{length in original}\), we substitute \(k=\frac{4}{9}\) and the length in the original \(=9\). So \(x=\frac{4}{9}\times9 = 4\).

Answer:

The scale factor is \(\frac{4}{9}\), and the unknown length in the scaled copy is \(4\).