Bot GPT 4-o mini To find the scale factor between rectangle ABCD and rectangle EFGH, we compare the dimensions of the two rectangles.
The dimensions of rectangle ABCD are:
- Width: 4
- Length: 8
The dimensions of rectangle EFGH are:
- Width: 10
- Length: 20
To find the scale factor for the width:
\[ \text{Scale factor (width)} = \frac{\text{Width of EFGH}}{\text{Width of ABCD}} = \frac{10}{4} = \frac{5}{2} \]
To find the scale factor for the length:
\[ \text{Scale factor (length)} = \frac{\text{Length of EFGH}}{\text{Length of ABCD}} = \frac{20}{8} = \frac{5}{2} \]
Both the scale factors for width and length are the same, thus the overall scale factor from rectangle ABCD to rectangle EFGH is:
\[ \text{Scale factor} = \frac{5}{2} \]
So the scale factor is \(\frac{5}{2}\).
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