Mathematics Question and Solution
Calculating Green Area.
a = 12+3
a = 15 units.
a is the side length of the two congruent squares.
cosb = 12/15
b = acos(4/5)°
c = 90-b
c = (90-acos(4/5))°
tand = 15/3
d = atan(5)°
e = c+d
e = 90-acos(4/5)+atan(5)
e = 131.82016988°
f² = 15²+3²
f = √(225+9)
f = √(234)
f = 3√(26) units.
Therefore, green area is;
Area triangle with height 3√(26) units and base 15sin131.82016988 units - Area triangle with height 15 units and base 3 units.
0.5*3√(26)*15sin131.82016988 - 0.5*15*3
= 85.5 - 22.5
= 63 square units.
