The senate and the house of representatives conduct their business in what building

The answer is "The U.S. Capitol Building"

Explanation:

At the U.S. Capitol Building the Senate and the Place of Delegates meet up to talk about, discuss and ponder national strategy; create agreement; and specialty the nation's laws. As the country has developed so has the U.S. Capitol Building: today it covers well over 1.5 million square feet, has more than 600 rooms, and miles of passages. It is delegated by an eminent white arch that sits above the city of Washington and has become a broadly perceived symbol of the American individuals and government. The U.S. Capitol Building's structure was chosen by President George Washington in 1793 and development started presently.

The U.S. Capitol Building is among the most compositionally amazing and emblematically significant structures on the planet. It has housed the gathering offices of the Senate and the Place of Delegates for more than two centuries. Started in 1793, the U.S. Capitol Building has been fabricated, consumed, revamped, broadened and reestablished; today, it remains as a landmark not exclusively to its manufacturers yet additionally to the American individuals and their legislature.