Question

The diagonal of a square is x units. What is the area of the square in terms of x? square units square units 2x square units square units

Answer 1

Assume the square has sides of a units

Area of square = a x a = a²

But, by Pythagoras theorem

a² + a² = x²

2a² = x²

a² = x²/2


Therefore the area of the square is given by the expression:

A = x²/2

Answer 2

Answer:

Step-by-step explanation:

Assume the square has sides of a units

Area of square = a x a = a²

But, by Pythagoras theorem

a² + a² = x²

2a² = x²

a² = x²/2

Therefore the area of the square is given by the expression:

A = x²/2