Can you please help me

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is   ⇒ B

Step-by-step explanation:

In similar rectangles, their corresponding dimensions are proportional, which means = , where L is the length and W is the width

∵ Rectangle ABCD is similar to rectangle MNOP

∴ Their dimensions are proportional

∵ The dimensions of rectangle ABCD are 6 m, 14 m

∴ L = 14 and W = 6

∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m

∴ L = 10.5 and W = 4.5

∵ The rectangle MNOP is the image of rectangle ABCD after dilation

→ To find the scale factor of dilation find the ratio between the

    corresponding dimensions in the two rectangles (image/pre-image)

∵ = =

∵ = =

∴ The scale factor for the dilation is  

The scale factor for the dilation of rectangle ABCD to rectangle MNOP is  

i'm pretty sure it's 477,585,296, but perhaps my math is incorrect.

based on context clues you gave i'm assuming the answer would be c.