Mathematics Question and Solution
Let the square side length be 3 units.
tana = (3/2)
a = atan(3/2)°
tanb = 1.5/1
b = atan(3/2)°
c = 180-45-a
c = (135-atan(3/2))°
It implies;
(2/sin(135-atan(3/2))) = (d/sin(atan(3/2)))
d = 1.6970562748 units.
(2/sin(135-atan(3/2))) = (e/sin45)
e = 1.4422205102 units.
f² = 1.5²+1²
f = 1.8027756377 units.
g = (180-2atan(3/2))°
Therefore;
Area Blue is;
0.5*1.6970562748*2sin45
= ⅕(6) square units.
Area Red is;
0.5*1.8027756377*1.4422205102sin(180-2atan(3/2))
= ⅕(6) square units.
Notice!
Area Blue and Area Red has equal area, (6/5) square units each.
It implies;
Area Blue : Area Red is;
1 : 1
= 1
