Answer:
The area of a rectangle is a natural number, an integer and a rational number.
Step-by-step explanation:
The area of a rectangle is a member of the following three subsets of real numbers:
(i) Natural numbers ([tex]\mathbb{N}[/tex]) - The area of the rectangle has no decimal parts and is positive.
(ii) Integer ([tex]\mathbb{Z}[/tex]) - The area of the rectangle has no decimal parts.
(iii) Rational numbers ([tex]\mathbb{Q}[/tex]) - The area of the rectangle can be obtained by dividing a natural number by other natural number. For instance:
[tex]\frac{36}{2} = 18[/tex]
In a nutshell, the area of a rectangle is a natural number, an integer and a rational number.
