Answer:
108 square units
Step-by-step explanation:
When the dimensions are multiplied by 3/2, they become ...
8·3/2 = 12
6·3/2 = 9
Then the area of the dilated figure is ...
A = LW
A = 12·9 = 108 . . . . square units
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Additional comment
If you're paying attention, you see that the original area is multiplied by the square of the scale factor.
A = LW
A = (8·3/2)(6·3/2) = (8·6)·(3/2)²
This is generally true for the area of scaled figures: the original area is multiplied by the square of the scale factor to get the area of the scaled figure.
