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If the base of a rectangle is increased by 10% and the area is unchanged, then its corresponding altitude must be decreased by?
- a)
- b)
- c)11%
- d)10%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the base of a rectangle is increased by 10% and the area is unchang...
Let the length = 100 m and height = x m Area = 100 x New length = 110 m and let new height =(x−yThen, 
100×x ⇒ 110× 
100×x ⇒ 110× =100 ⇒ 
Most Upvoted Answer
If the base of a rectangle is increased by 10% and the area is unchang...
1st method, let, length = x
base = y
area = xy
increased length = 11x/10
base = xy10/11x = y10/11
so, base decreased by = (y-(10y/11))100/y
= 9 1/11 % Ans.
2nd method, 10 - y +10y/100 = 0
10 - y +y/10 = 0
10 - 11y/10 = 0
11y/10 = 10
y = 100/11 = 9 1/11%
3rd method .... it's secret :-)
base = y
area = xy
increased length = 11x/10
base = xy10/11x = y10/11
so, base decreased by = (y-(10y/11))100/y
= 9 1/11 % Ans.
2nd method, 10 - y +10y/100 = 0
10 - y +y/10 = 0
10 - 11y/10 = 0
11y/10 = 10
y = 100/11 = 9 1/11%
3rd method .... it's secret :-)
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Community Answer
If the base of a rectangle is increased by 10% and the area is unchang...
Let length = l and breadth = b.
Let, new breadth = x
Then, (110% of l)*x = lb
=> 110/100 lx = lb
=>x = 10/11 b
Decrease in breadth = [(b - 10/11 b)*1/b*100]%
=100/11%
Hence option B
NOTE:REPLY IF NOT UNDERSTANDABLE
Let, new breadth = x
Then, (110% of l)*x = lb
=> 110/100 lx = lb
=>x = 10/11 b
Decrease in breadth = [(b - 10/11 b)*1/b*100]%
=100/11%
Hence option B
NOTE:REPLY IF NOT UNDERSTANDABLE
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If the base of a rectangle is increased by 10% and the area is unchanged, then its corresponding altitude must be decreased by?a)b)c)11%d)10%Correct answer is option 'B'. Can you explain this answer?
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If the base of a rectangle is increased by 10% and the area is unchanged, then its corresponding altitude must be decreased by?a)b)c)11%d)10%Correct answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about If the base of a rectangle is increased by 10% and the area is unchanged, then its corresponding altitude must be decreased by?a)b)c)11%d)10%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the base of a rectangle is increased by 10% and the area is unchanged, then its corresponding altitude must be decreased by?a)b)c)11%d)10%Correct answer is option 'B'. Can you explain this answer?.
If the base of a rectangle is increased by 10% and the area is unchanged, then its corresponding altitude must be decreased by?a)b)c)11%d)10%Correct answer is option 'B'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about If the base of a rectangle is increased by 10% and the area is unchanged, then its corresponding altitude must be decreased by?a)b)c)11%d)10%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the base of a rectangle is increased by 10% and the area is unchanged, then its corresponding altitude must be decreased by?a)b)c)11%d)10%Correct answer is option 'B'. Can you explain this answer?.
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