Originally posted by Fireindahouse:

part e ... answer is 4/5
OE=5/9a
therefore, OE:EA=4:5(take the whole a as 9 units, OE is 5 units so EA is 4 units)
area of triangle is 1/2base X height
since height of 2 triangles is the same, area of OEC:AEC= ratio of their base
bcoz (1/2 base of OEC X height)/(1/2 base of AEC X height), u cancel all the common terms, ull get base of OEC:base of AEC.
so answer is 4/5 loh