Class 8 Exam > Class 8 Questions > If the length of a rectangle is increased by ...
Start Learning for Free
If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area?
Most Upvoted Answer
If the length of a rectangle is increased by 20% and breadth is decrea...
Understanding the Problem
When the dimensions of a rectangle change, the area can also change. Here, we are given that the length is increased by 20% and the breadth is decreased by 20%.
Initial Area Calculation
- Let the initial length of the rectangle be L.
- Let the initial breadth of the rectangle be B.
- The initial area (A) is calculated as:
- A = L × B
New Dimensions After Changes
- New Length:
- Increased by 20%: New Length = L + 0.2L = 1.2L
- New Breadth:
- Decreased by 20%: New Breadth = B - 0.2B = 0.8B
New Area Calculation
- The new area (A') is calculated as:
- A' = New Length × New Breadth
- A' = (1.2L) × (0.8B)
Calculating the New Area
- A' = 1.2L × 0.8B
- A' = 0.96LB
Change in Area Calculation
- Initial Area (A):
- A = LB
- New Area (A'):
- A' = 0.96LB
- Change in Area:
- Change = A' - A = 0.96LB - LB
- Change = -0.04LB
Conclusion
- The area of the rectangle has decreased by 4% due to the changes in its dimensions.
- Thus, the final result shows that despite the increase in length, the decrease in breadth leads to an overall reduction in area.
When the dimensions of a rectangle change, the area can also change. Here, we are given that the length is increased by 20% and the breadth is decreased by 20%.
Initial Area Calculation
- Let the initial length of the rectangle be L.
- Let the initial breadth of the rectangle be B.
- The initial area (A) is calculated as:
- A = L × B
New Dimensions After Changes
- New Length:
- Increased by 20%: New Length = L + 0.2L = 1.2L
- New Breadth:
- Decreased by 20%: New Breadth = B - 0.2B = 0.8B
New Area Calculation
- The new area (A') is calculated as:
- A' = New Length × New Breadth
- A' = (1.2L) × (0.8B)
Calculating the New Area
- A' = 1.2L × 0.8B
- A' = 0.96LB
Change in Area Calculation
- Initial Area (A):
- A = LB
- New Area (A'):
- A' = 0.96LB
- Change in Area:
- Change = A' - A = 0.96LB - LB
- Change = -0.04LB
Conclusion
- The area of the rectangle has decreased by 4% due to the changes in its dimensions.
- Thus, the final result shows that despite the increase in length, the decrease in breadth leads to an overall reduction in area.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Top Courses for Class 8View all
If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area?
Question Description
If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area?.
If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area?.
Solutions for If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area? defined & explained in the simplest way possible. Besides giving the explanation of
If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area?, a detailed solution for If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area? has been provided alongside types of If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area? theory, EduRev gives you an
ample number of questions to practice If the length of a rectangle is increased by 20% and breadth is decreased by 20%,find the change in its area? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup