At its Sept. 5 meeting, the Planning Board will hold public hearings on proposals for two new eating establishments, Del Frisco’s Double Eagle Steak House and Qdoba Mexican Grill, at 92 Middlesex Turnpike. Del Frisco’s would occupy an 8,000-square-foot building now under construction on the site, while Qdoba would occupy a portion of a 30,000-square-foot mixed-use building also under construction, according to Don Benjamin, the town’s senior planner. The Planning Board in 2010 voted to establish the location as a Planned Development District, which has an approved set of development standards tailored specifically to the site. The following year, the board rejected a proposal to locate a 43,000-square-foot Dave & Buster’s restaurant/entertainment facility on the site, prompting a legal appeal by the property owner. The appeal was dropped when the town and the land owner agreed to a revised plan for the property that precluded entertainment-oriented businesses, Benjamin said. Del Frisco’s and Qdoba are the first two businesses to apply under that revised plan.