Answer:
The area is rational because the numbers in the formula are rational.
Explanation:
All repeating decimals are still rational because they can be expressed as fractions. For example,

So every recurring decimal must be a fraction.
Also every terminating decimal can be represented as a fraction.
0.25 =

So the area is rational because the numbers are rational.
Area =
X Base X Height
Base is Rational and Height is Rational. Hence Area=Rational.
When these rational numbers are substituted into the formula,the area must be rational.