To find the scale factor between the two rectangles, we can compare their corresponding dimensions.
The width of rectangle ABCD is 5, and the width of rectangle KLMN is 7.5.
To find the scale factor for the width, divide the width of KLMN by the width of ABCD:
\[ \text{Scale Factor (Width)} = \frac{\text{Width of KLMN}}{\text{Width of ABCD}} = \frac{7.5}{5} = \frac{7.5 \div 2.5}{5 \div 2.5} = \frac{3}{2} \]
Next, let's find the scale factor for the lengths. The length of rectangle ABCD is 9, and the length of rectangle KLMN is 13.5.
To find the scale factor for the length, divide the length of KLMN by the length of ABCD:
\[ \text{Scale Factor (Length)} = \frac{\text{Length of KLMN}}{\text{Length of ABCD}} = \frac{13.5}{9} = \frac{13.5 \div 4.5}{9 \div 4.5} = \frac{3}{2} \]
Both the width and length have the same scale factor, which confirms that the two rectangles are similar.
Therefore, the scale factor from rectangle ABCD to rectangle KLMN is:
\[ \frac{3}{2} \]
So, the scale factor is \( \frac{3}{2} \).
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