Question

If the length of a rectangle is increased by 50% and its breadth is decreased by 50%, what is the percentage change in its area?

• A. decreased by 75%
• B. decreased by 25%
• C. increased by 75%
• D. increased by 25%

Answer 1

Answer:

B. decreased by 25%

Let the length be ‘l’ and width be ‘b’. Initial Area = l×b New Length = l+ 50℅ of l=3l/2 New Width =b–50℅ of b=b/2. New area = 3lb/4 Decrease in area = lb/4 Decrease percentage in area=[(lb/4)/lb]*100=25%