Answer:
1/2(x²) square units
Step-by-step explanation
From the question,
Area of a Square(A) = L²
A = L²................. Equation 1
Where L = Lenght of the square
If the diagonal of the square is x,
Using pythagoras theorem,
a² = b²+c².................. Equation 2
Wherer a = x, b = c= L
Therefore,
x² = L²+L²
x² = 2L²
L² = x²/2
L = √(x²/2)
Substitute the value of L into equation 1
A = [√(x²/2)]²
A = x²/2 square unit.
A = 1/2(x²) square unit.
The right option is 1/2(x²) square units
