The dimension of certain tree structures is of importance in percolation theory, as well as in the theoretical treatment of many other branching processes. We present a method of determining the Haugdorff dimension of such structures by employing the technique of Mauldin and Williams. The dimension is calculated based on the probability of generation of each branch from its parent on the tree representing the process. We use this method to analyze the dimension of tree structures representing two-directional linear bonding between equally weighted monomers, and show how it can be used to model enzymatic reaction pathways.