Answer:
5.333
Step-by-step explanation:
To find the length of dilated I' J' we need to dilate the shape.
To do this you multiply each coordinate by 8/3.
Ex: (x,y) ---> (8/3x, 8/3y)
H: (0,3) ---> (8/3*0, 8/3*3)
I: (1,1) ---> (8/3*1, 8/3*1)
J: (3,1) ---> (8/3*3, 8/3*1)
K: (2,5) ---> (8/3*2, 8/3*5)
Now we plot this. (Picture attached)
The new I' coordinate: (2.667, 2.667)
The new J' coordinate: (8, 2.667)
The new length would be 8 - 2.667 so we can find the distance between the two points.
Note we are subtracting the y coordinates and not x because x coordinates represent height and y represents length
8 - 2.667 equals 5.333
So the length of segment I' J' will be 5.333
. Then 
, d. 8 m