In the following figure, segAB∥segCD. Diagonals AC and BD intersect at point O. If AO:OC=1:3, then A(△AOB)A(△ABD)=?
A
14
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B
19
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C
16
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D
116
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Solution
The correct option is C14 If AO:AC:1:3 Areaof△AOBAreaof△BOC=13 Let Area of △AOB=x ∴ Area of △BOC=3x Area of △(ABC)=4x Area △ABC=△ABD=4x Areaof△AOBAreaof△ABD=x4x=14.