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The length and breadth of a square are increased by 40% and 20% respectively. Find the percentage increase in the area of the rectangle so formed with respect to that of the original square?
- a)56%
- b)57.5%
- c)65%
- d)68%
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The length and breadth of a square are increased by 40% and 20% respe...
Let length =100 m and breadth = 100 m
View all questions of this test
Area of square = (100)2 = 10000m2
New length = 140 m, New breadth = 120 m
New area = (140 × 120)m2 =16800m2
Increase in area = 16800 – 10000 = 6800 m2
Increase percentage = (6800/10000) × 100% = 68%
Hence the correct answer is option (d).
Most Upvoted Answer
The length and breadth of a square are increased by 40% and 20% respe...
Explanation:
Step 1: Calculate the new dimensions of the rectangle
- Let the original side of the square be x.
- After increasing the length by 40%, the new length becomes 1.4x.
- After increasing the breadth by 20%, the new breadth becomes 1.2x.
Step 2: Calculate the area of the original square
- Area of the original square = x * x = x^2
Step 3: Calculate the area of the new rectangle
- Area of the new rectangle = (1.4x) * (1.2x) = 1.68x^2
Step 4: Calculate the percentage increase in the area
- Percentage increase = ((1.68x^2 - x^2) / x^2) * 100%
- Percentage increase = (0.68x^2 / x^2) * 100%
- Percentage increase = 68%
Therefore, the percentage increase in the area of the rectangle with respect to that of the original square is 68%. Hence, the correct answer is option 'D'.
Step 1: Calculate the new dimensions of the rectangle
- Let the original side of the square be x.
- After increasing the length by 40%, the new length becomes 1.4x.
- After increasing the breadth by 20%, the new breadth becomes 1.2x.
Step 2: Calculate the area of the original square
- Area of the original square = x * x = x^2
Step 3: Calculate the area of the new rectangle
- Area of the new rectangle = (1.4x) * (1.2x) = 1.68x^2
Step 4: Calculate the percentage increase in the area
- Percentage increase = ((1.68x^2 - x^2) / x^2) * 100%
- Percentage increase = (0.68x^2 / x^2) * 100%
- Percentage increase = 68%
Therefore, the percentage increase in the area of the rectangle with respect to that of the original square is 68%. Hence, the correct answer is option 'D'.
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The length and breadth of a square are increased by 40% and 20% respectively. Find the percentage increase in the area of the rectangle so formed with respect to that of the original square?a)56%b)57.5%c)65%d)68%Correct answer is option 'D'. Can you explain this answer?
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The length and breadth of a square are increased by 40% and 20% respectively. Find the percentage increase in the area of the rectangle so formed with respect to that of the original square?a)56%b)57.5%c)65%d)68%Correct answer is option 'D'. 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 The length and breadth of a square are increased by 40% and 20% respectively. Find the percentage increase in the area of the rectangle so formed with respect to that of the original square?a)56%b)57.5%c)65%d)68%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The length and breadth of a square are increased by 40% and 20% respectively. Find the percentage increase in the area of the rectangle so formed with respect to that of the original square?a)56%b)57.5%c)65%d)68%Correct answer is option 'D'. Can you explain this answer?.
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