Expanding Wi-Fi coverage of 2 G36 Gateways

Have a G36 running our network. I have several concrete block walls that inhibit the signal from reaching my backyard. 

Can I simply run a giant ethernet cable from my home G36 (Router 1 “R1”) to my outside, air conditioned shed where another G36 (Router 2 “R2”) would reside? Is that the simplest way to expand my outside wifi coverage? R2 would be near a window in the shed that in theory could reach the entirety of my backyard.

I’ve asked around and no one seems to have answer for this problem otherwise… TIA