Honestly, for a 1/10 acre skip the battery and just use a cord. You'll probably need to get an expensive one for higher amp draw. For instance, I got one of those leaf blower/vacuum things because I have a below grade driveway and leaves get piled up down there. Use it a couple times a year so no leaf blower hate plz. For comparison, my lot is 7000 sqft, which is about .15 acres.

Anyhow, it draws a lot of amps (around 15 amps) and I need 100 feet to reach all of my yard with ease. So you need a cord with larger guage wires. 12 guage for around 15 amps and 10 guage for anything over that up to 20 amps (has one of the prongs sideways). Because the longer the cord, the more voltage drop which can damage the tool. Anyhow, the extension cord will usually have labeled the amp rating it's designed for. Heavy duty is usually designed for these amps.

The batteries for tools are decently expensive, and lithium ion is only good for full capacity up to maybe 500 full cycles. Corded tools are also cheaper for a comparable battery powered tool. And fewer rare earth metals for environmental responsibility if that's your angle.