Question

sylvia enlarged a photo to make a 24 × 32 inch poster using the dilation d_q,4. what are the dimensions, in inches, of the original photo? 6 × 8 12 × 16 3 × 8 18 × 24

Explanation:

Step1: Determine the scale factor

The scale factor \(k\) of the dilation \(D_{Q,4}\) is \(4\).

Step2: Calculate the original dimensions

Let the original length and width be \(l\) and \(w\). After dilation, the new length \(l' = 32\) and new width \(w'=24\).
Since \(l'=k\times l\) and \(w' = k\times w\), then \(l=\frac{l'}{k}=\frac{32}{4} = 8\) and \(w=\frac{w'}{k}=\frac{24}{4}=6\)

Answer:

\(6\times8\)