Question

In triangle ABC, DE is drawn parallel to BC, meeting AB at D and AC at E. If AD : DB = 3 : 2 and the area of triangle ADE is 45 cm², find: (a) the area of triangle ABC, (b) the ratio of perimeters of ΔADE and ΔABC.

A 225 cm² and 1:5
B 125 cm² and 3:5
C 105 cm² and 3:4
D 125 cm² and 7:5
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