Mathematics Question and Solution
Calculating Area Green.
a = 12+8
a = 20 units.
a is BG.
tanb = 12/20
b = atan(3/5)°
b is angle DAH.
c = 180-45-b
c = (135-atan(3/5))°
(12/sin(135-atan(3/5))) = (d/sin(atan(3/5)))
d = 6.36396103068 units.
d is DI.
Therefore, green area is;
Area triangle with height and base 12 units respectively - Area triangle with height 6.36396103068sin45 and base 12 units.
½*12*12 - ½*6.36396103068sin(45)*12
= 72-27
= 45 square units.
