The scale factor is

Question

4
1
​
. Now, find the missing side length of the scaled copy.
Original Rectangle

12
20
Scaled Copy

5
20 ·
4
1
​
= 5
The scale factor is
4
1
​
.

Answer 1

To find the missing side length of the scaled copy, we need to apply the scale factor to the original dimensions of the rectangle.

Given:

• Original dimensions: 12 and 20
• Scale factor: $\frac{4}{1}$

If we are to find the lengths of the scaled copy, here’s how we can calculate it:

1. Scaling the Original Dimensions:

   • The width of the original rectangle is 12.
   • The length of the scaled copy related to the width is calculated as follows:

   $$\text{Scaled Width}=\text{Original Width}\times \text{Scale Factor}=12\times \frac{4}{1}=48$$

2. Given Scaled Dimension:

   • You mentioned “20” in the Scaled Copy, which might refer to the length of the rectangle in the original dimensions or as part of the problem statement.
   • If the height was originally 20 and we are finding the missing dimension using the scale factor of $\frac{4}{1}$:

   $$\text{Missing Side Length in Scaled Copy}=20\times \frac{4}{1}=80$$

Now, checking:

• If the point was to find the "5" referenced in your text, it does not apply to the $\frac{4}{1}$ scaling of the original 12 (as shown above).
• If "5" was the result of scaling 12 down, rather than scaling up by $\frac{4}{1}$, please clarify.

Based on the given information, the calculations above yield:

• The width of the scaled copy is 48.
• The missing side length when scaling the height of 20 is 80.

Therefore, please clarify if you intended something specific with "5" and how it fits into the original rectangle dimensions.