We measured the reaction cross sections of the two-neutron halo nucleus Be-14 with proton and carbon targets at about 41 and 76 MeV/nucleon. Based on a Glauber model calculation, we deduced the matter density distribution of Be-14 in which previously measured interaction cross sections at relativistic energies were also included. An s-wave dominance in Be-14 has been confirmed, although the halo tail of Be-14 is not distributed as much as that of Li-11. Significant mixing of the p-wave in addition to the s- and d-wave is also suggested. (C) 2014 Elsevier B.V. All rights reserved.