What is the area of a square?

I. The measure of diagonal of the square is given.

II. The measure of one side of the square is given.

III. The perimeter of the square is given.

Let the diagonal of a square be ‘d’. Diagonal of a square = √2 a d = √2 a a = d/√2 Area of a square = (d/√2)² From II, Let the sides of a square be ‘a’. Area of a square = (side)² = a² From III, Let the perimeter = 4 × side P = 4a a = P/4 Area of a square = (P/4)²

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