Mathematics Question and Solution
Let the side of the ascribed regular hexagon be 2 units.
Therefore;
Area Blue is;
Area triangle with height 1.5 units and base ½(√(3)) units.
= ½*1.5*½(√(3))
= ⅛(3√(3)) square units.
Area Red is;
Area triangle with height (5√(3)/11)sin30 units and base ⅛(5) unit.
= ½*(5√(3)/11)sin30*⅛(5)
= (25√(3)/352) square units.
Area Green is;
Area triangle with height 1.5 units and base ½(3√(3)) units - Area Red.
= ½*1.5*½(3√(3)) - (25√(3)/352)
= ⅛(9√(3)) - (25√(3)/352)
= (371√(3)/352) square units.
It implies;
Area Red : Area Blue : Area Green in form of a : b : c, where a, b and c are integers is;
(25√(3)/352) : ⅛(3√(3)) : (371√(3)/352)
= 25 : 132 : 371
