To calculate Dimensional Formula of Area, we need to know its formula

Area = Length x Breadth
Area = L x L
Area = L²

So Dimensional Formula = [M⁰ L² T⁰]
SI unit of Area is m²

Dimensional Formula is a standardized method to express the Physical quantities in terms of basic quantities as chosen in the SI system of measurement. These are denoted with symbols in square brackets []

The seven standards as per SI are
1) Mass
2) Length
3) Time
4) Electric Current [A]
5) Thermodynamical Temperature [K]
6) Luminous Intensity [Cd]
7) Amount of Substance [mol]

Following are the most commonly and widely used algebra equations.

1) (a+b)²=a²+b²+2ab
2) (a-b)²=a²+b²-2ab
3) (a+b+c)²=a²+b²+c²+2ab+2bc+2ca
4) (a+b)(a-b)= a²-b²
5) (a+b)³= a³+b³+3ab(a+b)
6) (a-b)³= a³-b³-3ab(a-b)
7) (a+b)²-(a-b)²=4ab
8 ) (a+b)²+(a-b)²=2(a²+b²)

Area of Square (A)

Area of Square refers to the number of square units required to fill the square is called the area of square. Area is a derived physical quantity. A square metre is the area of a square whose each sides are 1 metre.

Area of the square = side × side  
So,
Area of the square = L × L=L²

Hence, Dimensional formula for Area of Square  =M⁰L²T⁰

The fundamentals of physics form the basis for the study and the development of engineering and technology. Measurement consists of the comparison of an unknown quantity with a known fixed quantity. The quantity used as the standard of measurement is called ‘unit’.

Fundamental physical quantities–
Fundamental quantities are the quantities which cannot be expressed in terms of any other physical quantity.

Example– length, mass and time.

Derived quantities–
A derived quantity is a quantity that is based on the result of a systematic equation that includes any of the seven basic quantities, which are the kilogram, meter, second, ampere, kelvin, mole and candela.

Examples–Area (Square meter; M²), speed (meters per second; m/s) and Density (kg/m³).

Unit –
Unit is the reference used as the standard measurement of a physical quantity. The unit in which the fundamental quantities are measured are called fundamental unit and the units used to measure derived quantities are called derived units.

System of unit –
Group of units of all physical quantities are system of unit.

• G.S. system – It is the centimetre gram second system which are units of length, mass and time.
• P.S. system – it is foot pound second system. Britishers used this system.
• K.S. System – it is metre kilogram second system. European countries like France use this system.
• S.I. System – It is the international system of unit. It is universally accepted and has seven fundamental units.

There are seven fundamental units (base units) and two supplementary units.

1. SI system of units-