Framingham State University officials say the school is actively exploring the feasibility of renovating and retaining the historic 1812 House at 1000 Worcester Road, a property that was obtained for the college by state officials in March. However, university administrators warned that they likely could not pay for such a drastic renovation without external support. The university originally planned to raze the dilapidated house, which stands on a 22,000-square-foot parcel, to build a parking lot, and use an existing campus parking lot as the site of a new dormitory. However, Framingham State officials said last week that the school would pay for an architectural assessment and cost estimate for salvaging the 200-year-old building. University administrators are working with state Representative Chris Walsh, a Framingham Democrat, and local historic preservation officials. Framingham State will decide whether to renovate the building once the study has been completed, funding sources are determined, and additional discussions with the community are undertaken, officials said. In the past, the university has renovated and repurposed other significant properties on and near campus, including the Heineman Ecumenical and Cultural Center; the Bement House, which serves as the campus welcome center; the Honors Center at 22 Adams Road; the Early Childhood Center at 2 Church St.; the Facilities and Capital Planning Department at 42 Maynard St.; and a property at 550 Union Ave.