A community center today, this was most likely a church for most of its life. My brother estimates the date of construction between 1890 and 1920.
I wonder if this is the Wye Mountain church referred to in this entry of the Encyclopedia of Arkansas:
In 1968, the Methodist Church united with the former Evangelical United Brethren (EUB) Church, taking the current official name—the United Methodist Church. A congregation at Wye (Perry County) was the only EUB church in the state at that time.
I know of no other church in Wye. If anyone knows if this was a EUB church previous to 1968, or a United Methodist church afterward, please let me know. And yes, it is in Pulaski County, not Perry, but just barely, as Wye is in the furthest NNW corner of the county.
UPDATE: 6/13/12 - I completely overlooked the church across the road, which indeed is Wye Mountain United Methodist Church. Here's a picture of it.