Penn State’s Board of Trustees on Friday approved final plans to build a new Palmer Museum of Art adjacent to the Arboretum, despite opposition to the timing of the project from several trustees. Construction on the $85 million 71,000-square-foot facility, will begin this summer and is expected to be completed in the fall of 2023. “A museum as part of a cultural district at the University Park campus is a long-term vision for the university,” board chair Matt Schuyler said during a committee meeting on Thursday. “It’s an investment in the next 100 years of Penn State, not the next few years of economics.”