Additional extender to deliver wi-fi to garden studio

I have a WN3000RP extender, but it covers rooms at the front of the house.

I have been advised that to extend cover down to the back garden studio, 50ft/15m away, I should install two extra extenders:  one in the room closest to the studio and one in the studio itself.

Any advice on this appreciated:  will this work and which units should I choose ?