Sir Mike Ambrose is the author of the question.
AB is 2 cm.
BC is 6 cm.
The single side length of equilateral triangle BDE is;
= ⅓(16√(3)) cm.
Therefore;
Area Orange is;
Area triangle with two side length ⅓(10√(3)-6) cm and ⅓(36-16√(3)) cm, and angle 60°
= ½(⅓(36-16√(3))*⅓(10√(3)-6)*½√(3)
= ½(⅓(36-16√(3))*(5-√(3)))
= ⅓(18-8√(3))(5-√(3))
= ⅓(90-40√(3)-18√(3)+24)
= ⅓(114-58√(3)) cm²
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