White's f pawn is what's called a passed pawn because there are no black pawns that can impede its path to queening (i.e. no black pawn on the e, f, or g files). Because there's a g pawn which can help defend it while it moves down the board it will also be what's called a protected passed pawn. Pushing this pawn down the board is the main mechanism / idea to win.
With a pawn chain like a2-b3-c4 notice the weak pawn is the a2 pawn because no pawn can defend it. It's called the base of a pawn chain. Most likely white will have both of his pawn chain bases on the 2nd rank for a while. So putting a rook on the 2nd rank and preventing black from getting a rook to the 2nd rank will be a main defensive idea.
Getting a rook to the 7th rank where black's weak pawns are would be a big strategic accomplishment, second only to being able to push the passed pawn all the way down the board to make a queen.
The white king will choose the side of the board with his passed pawn, i.e. the kingside. It will slowly advance with the passed pawn to help defend it and if necessary control squares in front of it to help it advance.
If the rooks are traded this helps white because K vs K with extra pawn is an easy win. If black can trade his 4 pawns for 4 of white's pawns before white's extra pawns get too far down the board, then the defensive task will be easier... although so many pawn trades so fast should be impossible.
One last strategic idea, to advance a passed pawn you often have to control the square in front of it. However it can be clumsy with a rook or king in front of the pawn, because as the pawn advances they have to move out of the way. But a rook behind the passed pawn will protect it every square it advances. So as long as black can't permanently blockade the passed pawn, a rook behind your passed pawn is ideal.
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It's really a very simple position, but already we've covered a lot of ubiquitous endgame ideas. Passed pawns are very important in endgames. The king participates in the fight. Rooks behind passed pawns. The side with the advantage wants to trade pieces (that is to say, the non-pawns). The side at a disadvantage would like to trade all the pawns (endgames like rook vs bishop with no pawns or rook vs knight with no pawns are a draw).
And some of the ideas apply for middlegames too. Rooks on open files with hopes of Infiltration to the 2nd or 7th rank. Attacking the base of a pawn chain.
This isn't a real game. I waas just fooling around and came up with:
White --
Rooks on a1 and h1; pawns on a2, b3, c2, f2, g2, and h2; and the king on e2.
Black --
Rooks on a8 and h8; pawns on a7, b7, c7, and h7; and the king on e7.
What kind of strategy would you use?