Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Calculating Area Blue.
It is;
Area triangle with height 25 units and base ⅓(100) units - Area square with single side length 5 units - Area triangle with height 30 units and base 30tan(atan(5/35)) units - Area triangle with height 5 units and base ⅓(20) units - Area triangle with height 5 units and base 25sin(atan(3/4)) units.
= ⅓(1250) -25 - 450tan(atan(5/35)) - ⅓(50) - ½(75)
= ½(675) - 450tan(atan(5/35))
= ½(675 - 900tan(atan(5/35))) square units.
= 273.214285715 square units.
