Sir Mike Ambrose is the author of the question.
Area Purple exactly in decimal square cm is;
Area triangle with two side length 7.04301437734 cm and 7.01866670644 cm, and angle 100°
= ½(7.04301437734*7.01866670644)sin100
= 24.3407893513 cm²
≈ 24.34 cm²
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