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Dedicated to Professor Marius Stoka on the occasion of his 80th birthday Copyright c © 2014 D. Barilla, A. Puglisi and E. Saitta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. In some previous papers [ [1], [2], [3], [4], [5], [6], [7], [8], [9] and [10] the authors studies same Buffon- Laplace problems with different fundamental cells. In this paper we compute the probability that a segment of constant length and random position intersects a side of lattice with the cell composed by two triangles and two trapeziums (fig