Mathematics Question and Solution
Let the single side length of the three side regular hexagon be 1 unit.
Therefore;
The width of the rectangle is;
2 units.
The length/height of the rectangle is;
4 units.
It implies;
Area rectangle is;
4*2
= 8 square units.
Calculating Area Purple.
It is;
Area rectangle with length 2 units and width 1.56698729811 units - Area triangle with height 1.56698729811 units and base (¼) units - Area triangle with height ¼(7) units and base 0.27919817891 units.
= (2*1.56698729811) - ½(1.56698729811*¼) - ½((7/4)*0.27919817891)
= 2.69380277741 square units.
Area Purple ÷ Area Rectangle in its exact simplest decimal form is;
2.69380277741 ÷ 8
= 0.33672534718
