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
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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
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
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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
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