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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