Question
Rectangle A has a length of 4 cm and a width of 2 cm. Rectangle B has a length of 16 cm and a width of 6 cm. Rectangle C has a length of 16 cm and a width of 8 cmRectangle B
a scaled copy of Rectangle A.
a scaled copy of Rectangle A.
Answers
GPT-4o mini
To determine if Rectangle B is a scaled copy of Rectangle A, we need to check the ratio of their corresponding dimensions (length and width).
**Rectangle A:**
- Length: 4 cm
- Width: 2 cm
**Rectangle B:**
- Length: 16 cm
- Width: 6 cm
Now, calculating the ratios of the lengths and widths:
1. **Ratio of Lengths:**
\[
\text{Ratio of lengths} = \frac{\text{Length of B}}{\text{Length of A}} = \frac{16 \, \text{cm}}{4 \, \text{cm}} = 4
\]
2. **Ratio of Widths:**
\[
\text{Ratio of widths} = \frac{\text{Width of B}}{\text{Width of A}} = \frac{6 \, \text{cm}}{2 \, \text{cm}} = 3
\]
Since the ratios of the lengths and widths are not the same (4 for lengths and 3 for widths), Rectangle B is not a scaled copy of Rectangle A.
For Rectangles to be scaled copies, the ratios of corresponding dimensions must be equal. In this case, Rectangle B is not a scaled copy of Rectangle A.
**Rectangle A:**
- Length: 4 cm
- Width: 2 cm
**Rectangle B:**
- Length: 16 cm
- Width: 6 cm
Now, calculating the ratios of the lengths and widths:
1. **Ratio of Lengths:**
\[
\text{Ratio of lengths} = \frac{\text{Length of B}}{\text{Length of A}} = \frac{16 \, \text{cm}}{4 \, \text{cm}} = 4
\]
2. **Ratio of Widths:**
\[
\text{Ratio of widths} = \frac{\text{Width of B}}{\text{Width of A}} = \frac{6 \, \text{cm}}{2 \, \text{cm}} = 3
\]
Since the ratios of the lengths and widths are not the same (4 for lengths and 3 for widths), Rectangle B is not a scaled copy of Rectangle A.
For Rectangles to be scaled copies, the ratios of corresponding dimensions must be equal. In this case, Rectangle B is not a scaled copy of Rectangle A.