The invention discloses an apparatus for cutting grass comprising a lawn mower (1) configured for operating in a cutting area (S), a perimeter cable (2), bounding the cutting area (S), wherein the perimeter cable has at least a first portion (Q) having a first set conformation (C1), a management device (3) for generating an electric signal (ES) and propagating the electric signal (ES) in the cable (2), a recharging base (80) positioned outside the cutting area (S), wherein the lawn mower (1) comprises a control unit (60) configured for controlling movement means (20), such as to move back the lawn mower along a direction d until it meets the recharging base 80.