Question

what is the scale factor from the original figure to the scaled copy? 0.5
what is the missing length in the scaled copy?
0.1 units
(original rectangle: length 10, width 4; scaled copy rectangle: length 5, width ?)

Explanation:

Step1: Identify the scale factor

The original length is 10, and the scaled length is 5. The scale factor is calculated as $\frac{\text{Scaled Length}}{\text{Original Length}} = \frac{5}{10} = 0.5$.

Step2: Calculate the missing length

The original width is 4. To find the scaled width, multiply the original width by the scale factor: $4 \times 0.5 = 2$. Wait, but the user's initial input for the missing length was 0.1, which seems incorrect. Let's recheck. Wait, maybe the original length is 10 (original) and scaled length is 5 (so scale factor 0.5). Original width is 4, so scaled width should be $4 \times 0.5 = 2$. But the user's input had 0.1, which is wrong. Let's do it correctly.

Wait, maybe the problem is about the scaled copy's width. Original width is 4, scale factor is 0.5 (since 100.5=5, which matches the scaled length). So scaled width = 4 0.5 = 2. But the user's initial answer was 0.1, which is incorrect. Let's solve it properly.

Step1: Confirm scale factor

Original length: 10, Scaled length: 5. Scale factor $k = \frac{5}{10} = 0.5$.

Step2: Find missing length (width of scaled copy)

Original width: 4. Scaled width = Original width * k = $4 \times 0.5 = 2$.

Wait, maybe the user made a mistake in the initial input. Let's proceed with the correct calculation.

Answer:

2