The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?
25% increase
50% increase
50% decrease
75% decrease
Explanation:
Let original length = $x$ and original breadth = $y$.
Original area = $x$$y$.
| New length =$ \dfrac{x}{2} $. |
New breadth = 3y.
| New area =$ \left(\dfrac{x}{2} \times 3y\right) $=$ \dfrac{3}{2} xy $. |
| $\therefore$ Increase % =$ \left(\dfrac{1}{2} xy \times\dfrac{1}{xy} \times 100\right) $%= 50%. |