Answer:
6
Step-by-step explanation:
The area of the rectangle Thea drew is 8*9=72 square units.
The area of the original rectangle is 2 square units in
Let the scale factor of the dilation be k-units.
Then to obtain the area of the scaled version, we multiply the original area by k².
That is ,
[tex]2 {k}^{2} = 72[/tex]
We now solve for k.
[tex] {k}^{2} = 36[/tex]
Take square root;
[tex]k = \sqrt{36} = 6[/tex]
Therefore the scale factor is 6
