In the given rectangle, rectangle A, the length is 9 inches, and the width is 3 inches.
The length is 3 times the width.
Any rectangle in which the length is 3 times the width is similar to rectangle A.
Take each option and multiply the width by 3. If that is the length they tell you, then that rectangle is similar to rectangle A.
Option A.
1.5 in. * 3 = 4.5 in.
You are given length = 4.5 in.
It is similar.
Option B.
Width = 2 in.
2 in. * 3 = 6 in.
Given length is 8 in.
Not similar.
Option D.
Width = 4.5 in.
3 * 4.5 in. = 13.5 in.
Given length = 13.5 in.
Similar
Option E.
Width = 30 in.
3 * 30 in. = 90 in.
Given length = 90 in.
Similar.