Question

What is Area monotone axiom

Answer 1

Area monotone axiom states that if a polygon (P₁) having an area (R₁) is a subset of another polygon (P₂) having an area (R₂), then ar(R₁) ≤ ar(R₂).

Answer 2

AnswEr:

Firstly, recall what is area axiom ?

= Every polygonal region has an area, measured in square units.

The area of polygonal region in square metres, written as m² or sq.m., is a positive real number

ㄏ The area of a polygonal region R is denoted by "ar (R)". If ar (R) in square iis x , then we write "ar (R) = x m²".

• $\large\sf{\underline{\underline{Area\:Montone\:Axiom:-}}}$

If $\sf{R}_{1}$, $\sf{R}_{2}$ are two polygonal regions such that $\sf{R}_{1}$ is a part of $\sf{R}_{2}$, then

$\qquad\tt \: ar(r_1) \leqslant ar(r_2)$

#BAL

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