SATHEE: Quantitative Aptitude Ques 37

Quantitative Aptitude Ques 37

Question: If $ \Delta ABC $ is similar to $ \Delta DEF $ such that BC = 3 cm, EF = 4 cm and area of $ \Delta ABC=54,cm^{2}, $ then the area of $ \Delta DEF $ is

Options:

A) $ 78,cm^{2} $

B) $ 96,cm^{2} $

C) $ 54,cm^{2} $

D) $ 66,cm^{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

Given, $ \Delta ABC\tilde{\ }\Delta DEF $

$ \therefore $ $ \frac{Area,of,\Delta ABC}{Area,of,\Delta DEF}=\frac{{{(BC)}^{2}}}{{{(EF)}^{2}}} $

$ \Rightarrow $ $ \frac{54}{Area,of,\Delta DEF}=\frac{9}{16} $

$ \therefore $ Area of $ \Delta DEF=\frac{54\times 16}{9}=96,cm^{2} $

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Quantitative Aptitude Ques 37

Question: If $ \Delta ABC $ is similar to $ \Delta DEF $ such that BC = 3 cm, EF = 4 cm and area of $ \Delta ABC=54,cm^{2}, $ then the area of $ \Delta DEF $ is

Options:

Answer:

Solution:

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