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} $