Calculating Shaded Black Area.
a² = 9²+12²
a = √(81+144)
a = 15 units.
a is the hypotenuse of the ascribed right-angled triangle.
b = ½(a)
b = 7.5 units.
tanc = 9/12
c = atan(3/4)°
cos(atan(3/4)) = 7.5/d
0.8 = 7.5/d
d = ⅛(75) units.
d = 9.375 units.
e = 12-d
e = ⅛(96-75)
e = ⅛(21) units.
e = 2.625 units.
Therefore, shaded black area is;
½*9*⅛(21)
= (189/16) square units.
= 11.8125 square units.
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