ANSWER
The length of
[tex]A'B'=14.04 \: units[/tex]
EXPLANATION
The object length given to us is,
[tex] |AB|=10.8 \: units[/tex]
The scale factor of the dilation is,
[tex]k = 1.3[/tex]
The image length can be calculated using the formula
[tex] |A'B'| = k \times |AB| [/tex]
We substitute the given values into the formula to get,
[tex] |A'B'| = 1.3\times 10.8[/tex]
We multiply out to obtain,
[tex] |A'B'| = 14.04 \: units[/tex]
