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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Answer:
0.25% decrease
Step-by-step explanation:
⇒ Let the original length and breadth be x and y
∴ Original area = xy
⇒ New area (x−
100
5x
)(y+
100
5y
)=
100
95
×
100
105
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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