Question

rectangle wxyz was dilated using the rule ( d_{2,\frac{12}{5}} ). what is ( wx )? 8 units 10 units 12 units 14 units

Explanation:

Step1: Recall the dilation formula

When a figure is dilated with a scale factor \(k\), the length of a side \(s'\) of the dilated figure is given by \(s'=k\times s\), where \(s\) is the length of the corresponding side of the original figure. Here, the scale factor \(k = \frac{12}{5}\) and the original side length \(WX = 5\) units.

Step2: Calculate \(W'X'\)

Using the formula \(W'X'=k\times WX\), substitute \(k=\frac{12}{5}\) and \(WX = 5\). So \(W'X'=\frac{12}{5}\times5\).
Since \(\frac{12}{5}\times5=12\) (the \(5\) in the numerator and denominator cancels out).

Answer:

12 units