Quant Exam > Quant Questions > If the length of a rectangular field is incre...
Start Learning for Free
If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?
- a)100m²
- b)150m²
- c)175m²
- d)200m²
- e)None of the Above
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
If the length of a rectangular field is increased by 20% and the bread...
length of rectangle = l m
breadth of rectangle = b m
l * (120/100) * b * (80/100) = 192
1.2l * 0.8b = 192
lb = 192 / 1.2 * 0.8 = 200 m²
breadth of rectangle = b m
l * (120/100) * b * (80/100) = 192
1.2l * 0.8b = 192
lb = 192 / 1.2 * 0.8 = 200 m²
Most Upvoted Answer
If the length of a rectangular field is increased by 20% and the bread...
Free Test
FREE
| Start Free Test |
Community Answer
If the length of a rectangular field is increased by 20% and the bread...
Let's assume the original length of the rectangular field is L and the original breadth is B.
The area of the rectangle is given by A = L * B.
When the length is increased by 20%, the new length becomes L + 0.2L = 1.2L.
When the breadth is reduced by 20%, the new breadth becomes B - 0.2B = 0.8B.
The new area of the rectangle is (1.2L) * (0.8B) = 0.96LB.
Given that the new area is 192m², we have 0.96LB = 192.
Dividing both sides of the equation by 0.96, we get LB = 200.
Therefore, the original area of the rectangle is 200m².
The area of the rectangle is given by A = L * B.
When the length is increased by 20%, the new length becomes L + 0.2L = 1.2L.
When the breadth is reduced by 20%, the new breadth becomes B - 0.2B = 0.8B.
The new area of the rectangle is (1.2L) * (0.8B) = 0.96LB.
Given that the new area is 192m², we have 0.96LB = 192.
Dividing both sides of the equation by 0.96, we get LB = 200.
Therefore, the original area of the rectangle is 200m².
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?
Question Description
If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?.
If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?.
Solutions for If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If the length of a rectangular field is increased by 20% and the breadth is reduced by 20%, the area of the rectangle will be 192m². What is the area of original rectangle?a)100m²b)150m²c)175m²d)200m²e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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