Diagonals of a Trapezium ABCD with AB || CD intersect each

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Diagonals of a Trapezium ABCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of ∆AOB and ∆COD is

1. 4 : 1
2. 1 : 16
3. 1 : 4
4. 16 : 1

Correct Option: A

In ∆COD and ∆AOB,
∠OAB = ∠OCD
∠OBA = ∠ODC
By AA–similarity, ∆AOB ~ ∆COD

∴	Area of ∆AOB	=	4
	Area of ∆CD		1

= 4 : 1