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} $
BETA
