| 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] |
A) \[549\,{{\text{m}}^{2}}\]
B) \[545\,{{\text{m}}^{2}}\]
C) \[557\,{{\text{m}}^{2}}\]
D) \[560\,{{\text{m}}^{2}}\]
E) \[551\,{{\text{m}}^{2}}\]
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 \[=(24+4)(24-4)\] |
| \[=(28)(20)=560\,{{m}^{2}}\] |
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