Not really any way to determine this on paper, really. Other than ‘it depends’.

Depends on what materials the walls are made of, the model of your wifi router, the orientation of your router’s antenna(s), the orientation of your laptop or phone or whatever’s antenna, what obstacles or vegetation might be between the two buildings, what other devices nearby might be producing interference, whether or not Mercury is in retrograde, etc. In an edge case, even the daily humidity or precipitation may make the difference between a usable or unusable signal.

As others have said, the best way to test would be to just stand with your phone at the location where you’d put the repeater and see if your phone gets a strong wifi signal there. If it does, a repeater will probably work.

However, a repeater isn’t the only solution that could work here. Other potentially good solutions:

• Run an ethernet cable from the house to the office. (Faster, more reliable, but would require running wires.)

• Use a network over power lines setup, to have wired network without needing to run any new wires. (Still faster than wifi; might not be quite as reliable as other setups, though.)

• Use a directional wifi antenna to extend the range of your router. If you point it at the office, that will probably extend the range more than enough to reach it. (A directional antenna will be more reliable than a repeater, and for a comparable price. Also will save a little electricity, since you don’t have to power the repeater.)

• Have you tried simply using it without any upgrades? It’s only 70ft away, and wifi can definitely reach that far if conditions are good. Maybe try moving your wifi router closer to a window or exterior wall. If your router has movable antennas, make sure they’re positioned vertically for best signal distance. If you have a lot of neighbors, go into your router’s configuration and experiment with changing the wifi channel. If I remember right, there are 11 different channels, and if you’re on the same channel as a different nearby network, the two will interfere with each other and have greatly reduced range … but if you have it on a different channel, that will avoid interference and improve range.

Thanks for your detailed answer. There’s only one wall between the office door and the router, the wall is a typical 2x6 with insulation and sheathing and all that, and the signal there is weak to medium. But once inside the office we can add two more walls impeding the signal and it’s gone. Inside the shed the signal is good so I’m guessing the extender would work, if only having to pass one wall. Otherwise it all comes down to Mercury’s retrograde.

Seriously, though, maybe try this solution first:

As stupid as that looks, it’s very possible that it would be more than enough to get your wifi signal where it needs to go, at basically zero cost and zero energy usage.