Answer: (A) 2:1
Step-by-step explanation:
If BC = 2, CD = 3, AE = 3, EC = 4, then what is the ratio of the area of ECD to the area of AEB?
Area of ECD = 1/2*3x*4x= 6x^2
(since ratio value is unknown, we make it x)
Area of ACB = 1/2*2x*7x=7x^2
Area of BEC = 1/2*2x*4x=4x^2
So, AEB = ACB - BEC
= (7-4)x^2= 3x^2
ECD : AEB= 6x^2:3x^2 = 2:1
Ans = 2:1
