Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the side of the regular hexagon be 1 unit.
Therefore;
Area green is;
Area triangle with height ½ units and base √(3) units + Area triangle with height 1.30930734142 units and base 1.13389341903 units.
= ½*½*√(3) + ½*1.13389341903*1.30930734142
= ¼√(3) + 0.74230748896
= 1.17532019085 square units.
Area orange is;
Area triangle with height (2/5) units and base (½sin60) units.
= ½*(2/5) )*½*sin60
= √(3)/20 square units.
= 0.08660254038 square units.
Therefore;
Area Orange ÷ Area Green exactly in decimal is;
0.08660254038 ÷ 1.17532019085
= 0.07368421053
= 7/95
