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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?

Adecreased by 75%

Bdecreased by 25%

Cincreased by 75%

Dincreased by 25%

Answer:

B. decreased by 25%

Read Explanation:

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%


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