UPSC Exam > UPSC Questions > Find % change in the breadth of a rectangle ...
Start Learning for Free
Find % change in the breadth of a rectangle if the length of a rectangle is
doubled and the area remains fixed.
- a)66-%
- b)50%
- c)100%
- d)200%
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Find % change in the breadth of a rectangle if the length of a rectan...
Area of rectangle = Length x breadth (fixed)
View all questions of this test
Most Upvoted Answer
Find % change in the breadth of a rectangle if the length of a rectan...
Solution:
Let's assume the initial length and breadth of the rectangle as L and B respectively.
So, the initial area of the rectangle = A = L*B
After doubling the length of the rectangle, the new length and breadth become 2L and B respectively.
So, the new area of the rectangle = A' = 2L * B = 2(L*B) = 2A
Now, we know that the area remains fixed, i.e., A = A'
So, 2A = A'
=> A'/A = 2
Therefore, the percentage change in the breadth of the rectangle can be calculated as follows:
% change in breadth = ((B' - B)/B) * 100, where B' is the new breadth
We know that A = L*B and A' = 2A
=> 2L*B = L*B'
=> B' = 2B
Substituting the value of B' in the above formula, we get:
% change in breadth = ((2B - B)/B) * 100
= (B/B) * 100
= 100%
Hence, the percentage change in the breadth of the rectangle is 100%. Answer: Option B.
Let's assume the initial length and breadth of the rectangle as L and B respectively.
So, the initial area of the rectangle = A = L*B
After doubling the length of the rectangle, the new length and breadth become 2L and B respectively.
So, the new area of the rectangle = A' = 2L * B = 2(L*B) = 2A
Now, we know that the area remains fixed, i.e., A = A'
So, 2A = A'
=> A'/A = 2
Therefore, the percentage change in the breadth of the rectangle can be calculated as follows:
% change in breadth = ((B' - B)/B) * 100, where B' is the new breadth
We know that A = L*B and A' = 2A
=> 2L*B = L*B'
=> B' = 2B
Substituting the value of B' in the above formula, we get:
% change in breadth = ((2B - B)/B) * 100
= (B/B) * 100
= 100%
Hence, the percentage change in the breadth of the rectangle is 100%. Answer: Option B.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer?
Question Description
Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer?.
Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer?.
Solutions for Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Find % change in the breadth of a rectangle if the length of a rectangle isdoubled and the area remains fixed.a)66-%b)50%c)100%d)200%Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup