Question

In triangle ABC, DE is drawn parallel to BC, intersecting AB at D and AC at E. If AD : DB = 2 : 1 and area of triangle ADE is 24 cm², find: (i) area of triangle ABC, (ii) area of trapezium BDEC.

A 54 cm² and 30 cm²
B 40 cm² and 25 cm²
C 10 cm² and 20 cm²
D 50 cm² and 60 cm²
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