Sir Mike Ambrose is the author of the question.
Area purple exactly in square cm decimal form is;
Area triangle with side 17.1220111351 cm and 15.6524758425 cm, and angle 75.963756532° - Area triangle with side 3.28886874952 cm and 2.857142857 cm, and angle 8.1301023539° + Area triangle with side 2.857142857 and 2.82842712466 cm, and angle 8.1301023539°
= ½(17.1220111351*15.6524758425)sin75.963756532 - ½(3.28886874952*2.857142857)sin8.1301023539 + ½(2.857142857*2.82842712466)sin8.1301023539
= 130 - 0.66445182715 + 0.57142857136
= 129.906976744 cm²
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