The pair of rectangle that will prove Carly's statement incorrect is: Option 3: A rectangle with length 4 and width 3. A rectangle with length 3 and width 2.
<h3>How to find if a pair of figure is not dilated version of each other?</h3>
Dilation of a figure will leave its sides get scaled (multiplied) by same number.
Thus, suppose if a rectangle is dilated, and its sides were of length = L and width = W, then its dilated version would be having length = Ln, and width = Wn where n is the factor of scaling.
Thus, we get:

For the given cases, checking all the given pairs:
- Case 1: A rectangle with length 4 and width 2. A rectangle with length 8 and width 4.
Getting length to length and width to width ratio:

Pair given are dilated version of each other.
- Case 2: A rectangle with length 4 and width 2. A rectangle with length 6 and width 3.
Getting length to length and width to width ratio:

Pair given are dilated version of each other.
- Case 3: A rectangle with length 4 and width 3. A rectangle with length 3 and width 2.
Getting length to length and width to width ratio:

Pair given are not dilated version of each other.
- Case 4: A rectangle with length 4 and width 3. A rectangle with length 2 and width 1.5.
Getting length to length and width to width ratio:

Pair given are dilated version of each other.
Thus, the pair of rectangle that will prove Carly's statement incorrect is: Option 3: A rectangle with length 4 and width 3. A rectangle with length 3 and width 2.
Learn more about dilation here:
brainly.com/question/3266920