| The area of a rectangle is 4 times the area of a square. The length of the rectangle is 90 cm and the breadth of the rectangle is 2/3rd of the side of the square. What is the side of the square? [SBI (PO) 2012] |
A) 10 cm
B) 20 cm
C) 9 cm
D) Cannot be determined
E) None of the above
Correct Answer: E
Solution :
| Let the side of the square be \[x\,\,cm.\] |
| \[\therefore \]Breadth of rectangle \[=\frac{2}{3}x\,\,cm\] |
| According to the question, |
| \[4{{x}^{2}}=90\times \frac{2}{3}x\] |
| \[\Rightarrow \] \[4x=60\]\[\Rightarrow \]\[x=\frac{60}{4}=15\,\,cm\] |
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