Calculating pink area.
Notice.
The triangle is equilateral.
a = 90-60
a = 30°
tan30 = b/2
b = ⅓(2√(3)) m.
It implies;
Area pink is;
Area square with side 2 m - Area triangle with height 2 m and base ⅓(2√(3)) m.
2²-½(2*⅓(2√(3)))
= 4-⅓(2√(3))
= ⅓(12-2√(3)) m²
= 2.84529946162 m²
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