Mathematics Question and Solution
It implies;
Calculating x.
(½*x*3x)+(½(2x+3x)*3x) = 12
3x²+15x² = 24
18x² = 24
x² = 4/3
x = ⅓(2√(3)) units.
Therefore, 3x, the side length of the ascribed square
is;
3*⅓(2√(3))
= 2√(3) units
tana = 2√(3)/⅓(2√(3))
a = atan(3)°
b = 180-45-a
b = (135-atan(3))°
It implies;
(⅓(2√(3))/sin(135-atan(3))) = (c/sin(atan(3)))
c = 1.2247448714 units.
Yellow Area is;
½(2√(3))²-0.5*1.2247448714*⅓(2√(3))sin45
= 6-0.5
= 5½ square units.
