Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is   ⇒ B
 ⇒ 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
 , 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
 = 14 and W = 6
 = 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L = 10.5 and W
 = 10.5 and W = 4.5
 = 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  