Rectangle abcd with coordinates a(1, 1), b(4, 1), c(4, 2), and d(1, 2) dilates with respect to the origin to give rectangle a'b'c'd'. if = 6, what is the scale factor of the dilation?

I have attached a screenshot with the complete question.

dilation factor is 2

Explanation:
First, we will need to find the distance of AB as follows:
distance = 
AB = 
AB = √9 = 3 units

Dilation can be represented as follows:
A'B' = k * AB
where k is the dilation factor

We are given that:
A'B' = 6

We can note that:
A'B' = 2 * AB
Therefore, the dilation factor is 2.

Hope this helps :)