To find the scale factor used to enlarge the rectangle in the image, we need to compare the corresponding sides of the original and enlarged rectangles.
The corresponding sides are the base length of the first rectangle (5 inches) and the length of the second rectangle (9 inches).
Therefore, the scale factor is calculated as:
Scale factor = Length of the enlarged rectangle / Length of the original rectangle
Scale factor = 9 inches / 5 inches
Scale factor = 1.8 inches
So, the scale factor used to enlarge the rectangle in the image is 1.8.