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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]
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