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 a’b’=6 what is the scale factor of the dilation?

a: 6
b: 3
c: 2
d: 1/2
e: 4

Option C.

Step-by-step explanation:

You need to find the distance AB with the formula for calculate the distance between two points:

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

You know that A'B'=6, then the scale factor of dilation can be calculated with:

Substituting values, you get:

This matches with the option C.

24

step-by-step explanation:

i assuming that 2 sides are 6 the other 2 sides are 4 cm so 6 times 4 is 24 : )

step-by-step explanation: i dont