Find the percantage increases in the area of a rectangle if there is an increases of 10 %in both length and breadth of the rectangle
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Class 8
>>Maths
>>Comparing Quantities
>>Increase and Decrease in Percentage
>>If the length of rectangle is increased
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If the length of rectangle is increased by 20% and breadth is decreased by 10% then what will be the impact on area?
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Correct option is D)
Let the length & breadth of rectangle be a & b
Area(original)=ab
New length= a+
100
20
a
=
100
120
a
New breadth=b−
100
10
b
=
100
90
b
Area(new)=
100
120
×
100
90
ab
=
100
108
ab
=ab+
100
8
ab
∴ Area is increased by 8%.
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