Sir Mike Ambrose is the author of the question.
Area purple is;
Area trapezium with two parallel side length (58/15) cm and (46/5) cm, and height 4 cm.
= ½((58/15)+(46/5))*4
= (392/15) cm²
Area brown is;
Area triangle with height 8 cm and base 12 cm - Area triangle with height (14/5) cm and base (56/15) cm.
= ½(8*12) - ½((14/5)*(56/15))
= 48 - (392/75)
= (3208/75) cm²
It implies;
Area purple ÷ Area brown exactly is;
(392/15) ÷ (3208/75)
= 245/401
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