Question

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

• A.
• B.
• C.
• D.

Answer 1

The correct option is C

Let the original length $=x$ and original breadth $=y$

Original area $=xy$

When the length of a rectangle is halved, while its breadth is tripled.

Then, New length $=\frac{x}{2}$

New breadth $=3y$

New area $=\left(\frac{x}{2}\right)\left(3y\right)=\frac{3}{2}xy$

Change in area $=\frac{3}{2}xy-xy$

$=\frac{xy}{2}$

Therefore, percentage increase $=\frac{xy}{2xy}$ $\times$ 100 $\%$

$=50\%$