Are peonies perennials

If some one can help! I live in Indiana. Bought a perenial flower from local nursery last year. This year it blooms nice & want to buy more & went back to the same local nursery but they don't remember the name. Only way I can explain, it might be in same family as Obedient plant & salvia. The one I have is very tall about 5 ft tall-has hot red pink flower & also has square stem. I know obedient plant & salvia plant. The one I have is not neither. I have pictures of it but don't how to attach here. Thanks.