Sir Mike Ambrose is the author of the question.
Calculating Area Orange ÷ Area Triangle ABC.
Let the single side length of the regular hexagon be 2 units.
Therefore;
Area orange is;
1.25264388762 square units.
Area triangle ABC is;
(9√(3)/4) square units.
It implies;
Area Orange ÷ Area Triangle ABC is;
1.25264388762÷(9√(3)/4)
= 0.32142857143
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