Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the side of the regular Pentagon be 2 units.
Therefore;
Area orange is;
Area triangle with height 1.7013016167 unit and base 1.8345763534sin(18) units
= ½*1.7013016167*1.8345763534sin(18)
= 0.48224693327 square unit.
Area blue is;
Area trapezoid with parallel sides 0.21654236465 unit and 1 unit, and height 1.9021130326 unit
½*1.9021130326(0.21654236465+1)
= 1.15700054326 square unit.
It implies;
Area Orange ÷ Area Blue to 2 decimal places is;
0.48224693327 ÷ 1.15700054326
= 0.41680787108
≈ 0.42
