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
Share
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
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step explanation:
Class 8
>>Maths
>>Comparing Quantities
>>Increase and Decrease in Percentage
>>If the length of rectangle is increased
Question
Bookmark
If the length of rectangle is increased by 20% and breadth is decreased by 10% then what will be the impact on area?
Medium
Solution
verified
Verified by Toppr
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%.