The phrase "paths across" is correct and usable in written English.
It can be used to describe routes or ways that traverse a particular area or space.
Example: "The hikers followed the paths across the valley to reach the summit."
Alternatives: "routes through" or "trails across".
We continued along paths, across roads, up grassy hills.
In the first of its three scenes, "Rubric," innumerable pedestrians take different paths across the stage.
There are now more than 430 miles of bike paths across the city.
I cycled, mopeded, drove and walked endless quiet French A roads, forest tracks and open paths across the fields.
When another supply plane returned, its crew reported seeing lit bombs tracing paths across the night sky, as if there were an electrical storm.
Photograph: Manan Vatsyayana/AFP/Getty Images Updated at 2.52am BST 2.35am BST A few screengrabs of current flight paths across Europe are being shared across social media.
The bulldozers cut their own paths across the back-yard fences, small graveyards, and ridged fields of the village, ignoring the roads and lanes.
In total, more than 21,000 miles of railroad track has become paths across the country, according to the Rails-to-Trails Conservancy.
The creatures growing on the piece can indicate how long it has been in the water, and certain species would suggest different paths across the Indian Ocean.
The East Bay Bike Path is one of about a thousand such bike paths across the country that have been converted from old railway beds as part of the "rails to trails" program.
"I was at a school in Connecticut where the architects watched paths that the children made in the snow all winter, and then when spring came they made those the gravel paths across the green.
