The reason why it takes a long time to ratify the Articles of Confederation is that U.S. just declared independent from Britain, in other words, they just passed the Declaration of Independence, and in order to keep a country on track, they need some sorts of form of government, and they don't want to repeating the history, or have another tyrant, or a king, to rule over them again, which is a part of reason why they declared independent (the actual reasons is the king taxes us for no reason and we can't participate in the government), so they need all of the 13 states to approve, or sign, the Articles of Confederation, majority of them signed it, some of them having issues about the rights in the Articles of Confederation, so someone, I forgot his name, promised to includes all of the rights into the Articles of Confederation, which they can't do it instantly, which later known as the Bill of Rights (the first 10 amendments), so it takes longer to get the whole Articles of Confederation to be approved, or ratified.
Hope this help, my English is not that well so please excuse for it.
No candidate in the election of 1824 received of a majority of electoral college votes and so the 12th Amendment was needed so as to send the election to the House to decide.
