WHAT IS AREA AXIOMS,CONGRUENT AREA AXIOMS,AREA MONOTONE AXIOM,AREA ADDITION AXIOM AND RECTANGLE AREA AXIOM

An axiom is any mathematical statement that serves as a starting point from which other statements are logically derived.
The axioms related to area is termed as Area axioms.
There are four types of area axioms:-
$$\begin{gathered} Every polygonal region R has an area ,measure in square unit and denoted by ar\left(R\right) \\ i)Congruent area axiom: If R_1 and R_2 be two regions such that R_1\cong R_2 then ar(R_1)=ar(R_2\left) \\ ii\right)Area monotone axiom:If R_1\subset R_2,then ar\left(R_1\right)\le ar\left(R_2\right) \\ iii) Area addition axiom:If R_1 and R_2 are two polygonal regions,whose intersection is a finite number of points \\ and line segments and R=R_1\cup R_2,then ar(R)=ar(R_1)+ar(R_2\left) \\ iv\right) Rec\tan gular area axiom:As the name suggests it is the axiom related to area of rec\tan gle \\ If AB = a metre and AD = b metre,then ar(rec\tan gular region ABCD ) = ab square metre \end{gathered}$$