Sir Mike Ambrose is the author of the question.
Calculating Area Blue exactly in square units.
Area Blue is;
Area triangle with two side length 10½ units and ((7√(5)sin(atan(3/4)))/(2sin(180-atan(2)-atan(3/4))) units respectively, and angle (180-2atan(2))°, the angle they form.
= ½(21/2)((7√(5)sin(atan(3/4)))/(2sin(180-atan(2)-atan(3/4)))sin(180-2atan(2))
= ¼(21)(378/99)
= ½(441/11)
= (441/22) square units.
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