Transformations · Challenge problem

Represent points of the plane by complex numbers, and let $t = 4+3i$. Starting from the point $0$, compare two procedures: Procedure A translates by $t$ and then rotates $90^\circ$ counterclockwise about the origin; Procedure B rotates $90^\circ$ counterclockwise about the origin first and then translates by $t$. Find the distance between the two final points produced by Procedures A and B.