What change percentage is made in the area of a rectangle by decreasing its length and increasing its breadth by 5%.
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0.25% decrease
Step-by-step explanation:
⇒ Let the original length and breadth be x and y
∴ Original area = xy
⇒ New area (x− 5x/100)(y-5x/100)=
95/100 × (105/100)xy=0.9975xy
⇒ Difference in area = xy−0.9975xy
⇒ Difference in area = xy(1−0.9975)
⇒ Difference in area = xy(0.0025)
∴ Area decreased by 0.25%
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