Mathematics Question and Solution
Notice;
The bigger square side is 1 unit.
Calculating the big square side.
Let it be a.
a² = 2(½)²
a = (1/√(2)) units.
Calculating the biggest square side.
Let it be b.
b² = (0.5)²+(1.5)²
b = ½√(10) units.
tanc = ((0.5)/(1.5))
c = atan(0.5/1.5)°
d = (45-atan(0.5/1.5))°
e = 90-(45-atan(0.5/1.5))
e= (45+atan(0.5/1.5))°
tan(45+atan(0.5/1.5)) = d/(1/√(2))
d = √(2) units.
Therefore shaded region is;
½*a*d
= ½*(1/√(2))*√(2)
= ½ square units.
