Question

what is the missing length in the scaled copy? units original scaled copy

Explanation:

Step1: Find the scale factor

The scale factor is calculated by dividing the corresponding side of the scaled copy by the original. For the known sides, the scale factor \(k=\frac{50}{25} = 2\).

Step2: Calculate the missing length

Since the rectangles are similar (scaled copies), the ratio of their corresponding sides is equal. Let the missing length be \(x\). We know that \(\frac{x}{40}=k\). Substituting \(k = 2\) into the equation, we get \(x=40\times2\).

Answer:

\(80\)