Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Let the single side length of the equilateral triangle be 2 unit.
Therefore;
Area Green is;
⅓√(3) * ⅔
= 2√(3)/9 square units.
Area Yellow is;
Area triangle with height (⅔) units and base 0.44905020937 units + Area triangle with two side length 0.8037975709 units and 0.6546536707 units, and angle 15.143370384°.
= ½(⅔*0.44905020937) + ½(0.8037975709*0.6546536707)sin15.143370384
= 0.14968340312 + 0.06873217491
= 0.21841557803 square units.
It implies;
Area yellow ÷ Area green exactly in its simplest decimal form is;
0.21841557803 ÷ (2√(3)/9)
= 0.56746031747
