What rhymes with carpet?

Parapet,

Defined as:

1. Fortification

a. A defensive wall or elevation, as of earth or stone, in a fortification.

b. An elevation raised above the main wall or rampart of a permanent fortification.

2. Any low protective wall or barrier at the edge of a balcony, roof, bridge, or the like.

"parapet." Dictionary.com Unabridged (v 1.1). Random House, Inc. 25 Mar. 2008. .

Let, set, met, pet, bet, get,

There are no perfect rhymes for the Word carpet, but you could use target, market, or most Words ending in "et"
barbet marbet and tarbet