Quantitative Aptitude Ques 294

Question: The area of a square is $ 1024,cm^{2}. $ What is the respective ratio between the length and the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of the square?

Options:

A) 5 : 18

B) 16 : 7

C) 14 : 5

D) 32 : 5

E) None of these

Show Answer

Answer:

Correct Answer: E

Solution:

  • Area of a square $ =a^{2}=1024 $

$ \therefore $ $ a=\sqrt{1024}=32,cm $ Breadth of the rectangle = 12 cm less than the side of the square $ =32-12=20,cm $ Length of the rectangle = Twice the side of the square $ =2\times 32=64,cm $ Ratio of length and breadth $ =,64,:,20,=,64cm $

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