question_answer

The length of a rectangle is 20% more than its breadth. What will be the ratio of the area of this rectangle to the area of a square whose side is equal to the breadth of the rectangle?

A) 5 : 6                             

B) 6 : 5

C) 2 : 1                             

D) Data inadequate

E) None of these

Correct Answer: B

Solution :

Let the breadth of the rectangle be x.

According to the question, Length =1.20x

Area of rectangle \[=1.20\,\,x\times x=1.20\text{ }{{x}^{2}}\]

Area of square \[=x\times x={{x}^{2}}\]

Required ratio \[=\,\,\frac{1.20{{x}^{2}}}{{{x}^{2}}}=\frac{12}{10}=\frac{6}{5}=6:5\]