Calculating area of the inscribed red square.
Let a be the side length of the inscribed red square.
2b² = a²
b = √(a²/2)
b = ½√(2)a units.
10² = a²+(½√(2)a)²-2a*½√(2)acos(45+90)
100 = ½(3a²)+a²
100 = ½(5a²)
5a² = 200
a² = 40 square units.
Where a² is the area of the inscribed red square.
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