Bellevue Square owner Kemper Development has bought the last piece of property that it didn’t already control on the big block where the mall is located.

Kemper paid Khorram Family Investments about $3.13 million Thursday for the 0.3-acre property at the northwest corner of Bellevue Way Northeast and Northeast Fourth Street, according to county records.

The Khorrams’ Oriental Rug Co. store has operated on the site for decades. Kemper’s long-range plans call for more retail development in that part of the block.