Mathematics Question and Solution
Calculating 74L.
Notice.
L is the side length of the inscribed yellow square.
tana = 3/4
a = atan(3/4)°
b = 90-a
b = atan(4/3)°
it implies;
tana = L/x
tan(atan(3/4)) = L/x
3/4 = L/x
x = ⅓(4L) cm.
tanb = L/y
tan(atan(4/3)) = L/y
4/3 = L/y
y = ¼(3L) cm.
It implies, length L is;
x+L+y = 5
⅓(4L)+L+¼(3L) = 5
16L+12L+9L = 60
37L = 60
L = 60/37 cm.
Again, L is the side length of the inscribed yellow square.
Therefore, 74L is;
74*(60/37)
= 2*60
= 120 cm.
