Quantitative Aptitude Ques 463

Question: The length of a rectangle is 4 m more than the side of a square and the breadth of the rectangle is 4 m less than side of the same square. If the area of the square is $ 576,m^{2}, $ what is the area of the rectangle? SBI (SO) 2016]

Options:

A) $ 549,{m^{2}} $

B) $ 545,{m^{2}} $

C) $ 557,{m^{2}} $

D) $ 560,{m^{2}} $

E) $ 551,{m^{2}} $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Let side of the square be a m. Then, length of rectangle $ =4+a $ Breadth of rectangle $ =a-4 $ Area of square $ =576=a^{2} $ $ a=\sqrt{576}=24,m $ Area of rectangle $ =(24+4)(24-4) $ $ =(28)(20)=560,m^{2} $