a = ½(180-45)
a = 67.5°
sin67.5 = (0.5*18)/b
b = 9.7415298026 units.
b is the radius of the half circle and the width of the rectangle.
2c² = b²
2c² = 9.7415298026²
c = 6.8883017826 units.
d = b+c
d = 9.7415298026+6.8883017826
d = 16.6298315852 units.
Therefore, area blue rectangle is;
b*d
= 9.7415298026*16.6298315852
= 162 square units.
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