Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the single side length of the regular hexagon be 2 unit.
Area rectangle is;
2.5x√(3)
= ½(5√(3)) square units.
Area green is;
Area trapezoid with two parallel side length 3 unit and height √(3) unit - Area triangle with height (√(3)/3) unit and base 1 unit.
=½(3√(3)) - ½(√(3)/3))
= (4√(3)/3) square units.
It implies;
Area Green ÷ Area Rectangle exactly in its simplest form will be;
(4√(3)/3) ÷ ½(5√(3))
= (8√(3))/(15√(3))
= 8/15
