By finding the scale factor as a quotient of the two given widths, we will see that the new height is 7.7 in
We assume that the height and the width are reduced by the same scale factor.
Such that the scale factor is given by the quotient between the new width and the original width, so we have:
k = 5.4in/32.7in = 0.1651
Then the new height will be the original height times the above number, which gives:
H = 0.1651*46.5 in = 7.7 in
We conclude that the new height of the painting is 7.7 inches.
If you want to learn more about scale factors, you can read:
https://brainly.com/question/3457976