Calculating area of the inscribed blue square.
Let the inscribed blue square side be x.
a² = 2x²
a = √(2)x units.
a is the diagonal of the inscribed blue square.
x² = 2b²
b² = x²/2
b = ½√(2)x units.
It implies;
1² = a²+b²
1 = 2x²+(x²/2)
1 = ½(5x²)
2 = 5x²
x² = (2/5) square units.
x² = 0.4 square units.
Where x² is the area of the inscribed blue square.
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