Is the purpose for a garden or for gravel overlay or something else?
All my experiences with the plastic woven mats are very negative and as @gordon suggests mulch works well without adding all those micro plastics to the future environment.
There are all sorts of weeds that find their way through the woven plastic. It only makes them harder to pull out when they come up. I have fellow land care members who use the jute or equivalent eco mats to suppress weeds around planting’s, as they do break down over time.
For garden beds I now just use loads of mulch and a little hand weeding. I still use initially if needed a herbicide mix on selected grasses and let them expire first to minimise push through. There are some here that grow to 4m high.
If it is to be a paved area there are plenty of environmentally unsound and poor solutions. My one preferred solution, is to remove the top soil layer for at least 15cm, to remove all the seed rich organic layer. It’s full of microorganisms and too valuable to waste. If you turn it over regularily just like compost you can slowly exhaust the seed bank if it is weed prone to use elsewhere.
Replace the top soil with at least 10cm - 15cm thick layer of well compacted road base, then overlay with at least 5cm of crushed rock, paving etc. the greater the depth the better. How deep you go with the road base depends on the soil you are working on and what you are going to be using it for.
For foot only pathways in shaded areas, hand weeding first and a generous layer of sawdust or fine wood chip works well too.