Quantitative Aptitude Ques 549

Question: The length of a rectangular floor is twice its breadth. If Rs. 256 is required to paint the floor at the rate of $ Rs.,2,per,m^{2}, $ then what would be the length of floor?

Options:

A) 16 m

B) 8 m

C) 12 m

D) 32 m

Show Answer

Answer:

Correct Answer: A

Solution:

  • [a] Rate of painting $ =Rs.,2,per,m^{2} $
    $ \therefore $ Area of the rectangular floor $ =\frac{256}{2}=128m^{2} $ Let the breadth of floor be x m. Then, length $ =2x,m $
    $ \therefore $ $ 2x\times x=128 $
    $ \Rightarrow $ $ x^{2}=\frac{128}{2}=64 $
    $ \Rightarrow $ $ x=\sqrt{64}=8 $ Hence, length of floor $ =2x=2\times 8=16m $