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Area of a Square Formula

In geometry a Square is a flat figure or shape which has four equal sides and every angle is a right angle i.e. 90° and it shows equal sides. From this it follows that the opposite sides are also parallel. It is also described as a rectangle which has two adjacent sides have equal length.  The area of a square found out by the amount of space occupied within the square. Below mentioned is the formula to calculate the area of square.  It is best known of the quadrilaterals in geometry. A square is simply a specific case of a regular polygon, in this case with 4 equal sides. All the facts and properties described for regular polygons apply to a square.
Area of a Square
\[\LARGE Area\:of\:a\:Square\:Formula=a^{2}\]
a is the length of the side of a square

Solved Examples

Question 1: Find the area of the square of side 16 cm ?

Side of the square = a = 16 cm
Area of the square
= a2
= 162 cm2
= 256 cm2

Question 2: Find the length of the square whose area is 529 cm2?
Area of the square = A = 529 cm2
Side of the square = a = ?

Area of the square = A = a2
⇒ 529 cm= a
⇒ a = $\sqrt{529}$
⇒ a = 23 cm
Hence the length of the side of this square is 23 cm.
Related Formulas
Celsius FormulaCompleting the Square Formula
Complex Number FormulaArea of a Triangle Formula
Bayes Theorem FormulaCube Formula
Area of an Octagon FormulaAverage Rate of Change Formula