Question # 32
Revisit
As quare is converted into a rectangle by increasing one of its sides by 5% and reducing the
other by 5% What will be the percentage change in the area of the two figures?
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Answer:
⇒ 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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