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Area of Square

Theorem: Area of a square is equal to the square of its side length.

Prerequisites:
Square (definition)
Area of rectangle (proof)

Proof:

Let ABCD be a square having side length equal to 's'. Since by definition, square is a special type of rectangle, hence using the formula for area of a rectangle, area of ABCD is:

\qquad\quad\begin{align}\text{Area of ABCD} &= \text{(length)}\times\text{(breadth)}\\ &= s\times s\\ &= s^2\end{align}

Q.E.D.


Recommended:
Area of triangle
Area of rectangle
characteristics of parallelogram

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