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We investigate here the following fundamental question - how can we achieve a high reachability while minimizing the inherent effects of high transmission power for a beamforming-based broadcast scheme in multihop wireless networks? To address this challenge, this paper proposes a fully distributed scheme that allows nodes to set dynamically their transmission range based on their local densities and the distance to the destination. The efficiency of this technique is studied first in a vehicular environment using real road network-based simulations. Furthermore, the proposal is evaluated using a simplified node distribution scheme and an analytical model is derived to calculate the transmission area.