The length of a rectangle is halved, while its breadth is quadrupled. What is the percentage change in the area?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 100% increase
The area of a rectangle is length × breadth, so the new area is the old one multiplied by both changes.
New area \(=\frac{1}{2}l\times4b=2lb\), twice the old area
Increase: \(2lb-lb=lb\), the whole of the old area, that is, a 100% increase