Question
Start by finding the scale factor from the original rectangle to the scaled copy.
Original Rectangle
10
6
Scaled Copy
3
The scale factor is
Original Rectangle
10
6
Scaled Copy
3
The scale factor is
Answers
GPT-4o mini
To find the scale factor from the original rectangle to the scaled copy, you will divide the dimensions of the original rectangle by the corresponding dimensions of the scaled copy.
Given the original rectangle dimensions:
- Length: 10
- Width: 6
Dimensions of the scaled copy:
- Length: 3
- Width: (not provided, but we will assume it is in proportion to the original)
The scale factor can be calculated as follows:
1. For the length:
\[
\text{Scale factor (length)} = \frac{\text{Original length}}{\text{Scaled length}} = \frac{10}{3}
\]
2. For the width:
\[
\text{Scale factor (width)} = \frac{\text{Original width}}{\text{Scaled width}} = \frac{6}{\text{Scaled width}}
\]
(Note: If the scaled width is also not given, we cannot calculate the width scale factor without it.)
Assuming the scaled copy maintains the same proportions, the scale factor would be the same for both dimensions.
Thus, the scale factor from the original rectangle to the scaled copy (using the given length) is:
\[
\text{Scale factor} = \frac{10}{3} \quad \text{(approximately 3.33)}
\]
If the width of the scaled copy is known, the calculation for the width scale factor can also be added to find any discrepancies.
Given the original rectangle dimensions:
- Length: 10
- Width: 6
Dimensions of the scaled copy:
- Length: 3
- Width: (not provided, but we will assume it is in proportion to the original)
The scale factor can be calculated as follows:
1. For the length:
\[
\text{Scale factor (length)} = \frac{\text{Original length}}{\text{Scaled length}} = \frac{10}{3}
\]
2. For the width:
\[
\text{Scale factor (width)} = \frac{\text{Original width}}{\text{Scaled width}} = \frac{6}{\text{Scaled width}}
\]
(Note: If the scaled width is also not given, we cannot calculate the width scale factor without it.)
Assuming the scaled copy maintains the same proportions, the scale factor would be the same for both dimensions.
Thus, the scale factor from the original rectangle to the scaled copy (using the given length) is:
\[
\text{Scale factor} = \frac{10}{3} \quad \text{(approximately 3.33)}
\]
If the width of the scaled copy is known, the calculation for the width scale factor can also be added to find any discrepancies.