A rectangle with side lengths 3h and k has a vertex at (2h, k). Which point cannot be a vertex of the rectangle?

The correct answer is: (h, k)

Complete step by step solution:
                                         
Here we have ABCD as a rectangle placing one vertex as origin d=(2h,k) .
We have the length of the rectangle = 3h and width = k.
Now, ab = 3h
⇒cd = 3h (Since ABCD is a rectangle)
And, ac = k
⇒bd = k (Since ABCD is a rectangle)
So we get that a = (-h,0)
b = (2h, 0)
c = (-h, k) and d =(2h, k)
So here (h, k) is not a vertex of the given rectangle.
Hence option A is not a vertex.