Question

The length of a rectangle is increased to $\frac{3}{2}$ times of its length and breadth is reduced to $\frac{1}{3}rd$ of its breadth. What is the change in area?

• A. $\frac{1}{3}$
• B. $\frac{1}{4}$
• C. $\frac{1}{2}$
• D. No Change

Answer 1

Answer: (D)

No Change

Answer 2

Let the length of previous rectangle be L.
Then the length of new rectangle = $\frac{3}{2}$L.
Let the breadth of previous rectangle be B.
Then new breadth of rectangle =$\frac{2}{3}$B.
Now, previous area of rectangle = LB
and the new area = $\frac{3}{2}$L × $\frac{2}{3}$B = LB
There would be no any change in area of rectangle
So the correct option is (D)