  The scaling behavior of the entanglement entropy of droplet states in
Heisenberg spin-1/2 XXZ model defined on a strip of width $M$ under the
presence of a non-negative background magnetic field is investigated. Without
any assumptions on $V$, a logarithmically corrected area law is shown. Assuming
that the values of $V$ are i.i.d. random variables, an area law in expectation
is obtained.
