The correct way to write the dimensions of area is:
A$\text{Area}=[L]^2$
B$[\text{Area}]=L^2$
C$[\text{Area}]=L^2[\;]$
D$[\text{Area}]=[L][L][\;]$
Answer & Solution
Correct answer: B. $[\text{Area}]=L^2$
1. Square brackets denote 'the dimensions of' the quantity inside them.
2. So the bracket belongs around the quantity, on the left of the equation.
3. Area is a length multiplied by a length, giving $L^2$ on the right.
4. The correct notation is therefore $[\text{Area}]=L^2$.
5. Writing $\text{Area}=[L]^2$ or trailing an empty bracket misplaces the notation, both of which were recorded errors.
_Source: NECTA ACSEE 2023 Physics 131/1, Question 1: Measurement_
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