Sir Mike Ambrose is the author of the question.
Let the two equal marked lengths of triangle ABC be 2 units.
Therefore;
Area triangle ABC is;
Area triangle with height 5.75877048314 units and base (5.75877048314sin20) units.
= 0.5*5.75877048314*5.75877048314sin20
= 5.67128181961 space units.
Area purple is;
Area triangle with height 4 units and base (1.11985686148sin28.334490436) units.
= 0.5*4*1.11985686148sin28.334490436
= 1.06300877373 space units.
It implies;
Area Purple ÷ Area ABC to 2 d. p. is;
1.06300877373 ÷ 5.67128181961
= 0.18743712754
≈ 0.19
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