SATHEE: Quantitative Aptitude Ques 143

Quantitative Aptitude Ques 143

Question: In trapezium ABCD, $ AB\parallel CD $ and AB = 2 CD. Its diagonals intersect at O. If the area of $ \Delta AOB $ is $ 84,cm^{2}, $ then the area of $ \Delta COD $ is

Options:

A) $ 42cm^{2} $

B) $ 72cm^{2} $

C) $ 26cm^{2} $

D) $ 21cm^{2} $

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Answer:

Correct Answer: D

Solution:

Let CD be x.

$ \therefore $ AB = 2x Now, $ \frac{Area,of,\Delta AOB}{Area,of,\Delta COB}=\frac{AB^{2}}{CD^{2}} $

$ \Rightarrow $ $ \frac{84}{Area,of,\Delta COD}=\frac{4x^{2}}{x^{2}} $

$ \therefore $ Area of $ \Delta COD=\frac{84}{4}=21,cm^{2} $

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Quantitative Aptitude Ques 143

Question: In trapezium ABCD, $ AB\parallel CD $ and AB = 2 CD. Its diagonals intersect at O. If the area of $ \Delta AOB $ is $ 84,cm^{2}, $ then the area of $ \Delta COD $ is

Options:

Answer:

Solution:

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