Mathematics Question and Solution
Calculating Area Blue.
a = 5+3
a = 8 units.
a is the side length of the big square.
b² = 3²+8²
b² = 9+64
b = √(73) units.
c = ½(b)
c = ½√(73) units.
c is the side length of the two equal small squares.
tand = (3/8)
d = atan(3/8)°
e = 90-45-d
e = (45-atan(3/8))°
e = 24.4439547804°
f² = 2(½√(73))²
f² = 2*¼(73)
f = √(½*73)
f = 6.0415229868 units.
f is the diagonal of each of the two equal small squares.
Area Blue is;
½*a*fsine
= 0.5*8*6.0415229868sin24.4439547804
= 10 square units.
