Mathematics Question and Solution
Let a be the side length of the blue inscribed square.
Calculating Area of the blue inscribed square.
tan60 = a/b
b = ⅓(√(3)a) cm.
b = 0.5773502692a cm.
c = a+b
c = 1.5773502692a cm.
Calculating a.
8² = (1.5773502692a)²+a²
64 = 2.4880338717a²+a²
3.4880338717a² = 64
a² = 18.3484456729
a = 4.2835085704 cm.
a is the side length of the inscribed blue square.
Therefore;
a² is the area of the inscribed blue square.
a² = 18.3484456729 cm²
