Quant Exam > Quant Questions > If each side pair of opposite sides of a squa...
Start Learning for Free
If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?
- a)290m²
- b)225m²
- c)230m²
- d)245m²
- e)None of the Above
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If each side pair of opposite sides of a square is increased by 10m, t...
Understanding the Problem
To find the area of the original square, we need to analyze the changes made to its dimensions and the resulting rectangular shape.
Step 1: Defining Dimensions
- Let the side length of the original square be 's'.
- When each side pair of opposite sides is increased by 10m:
- The new length becomes: s + 10 (for one pair)
- The new breadth becomes: s + 10 (for the other pair)
Step 2: Ratio of Length and Breadth
- The problem states that the ratio of the length to the breadth of the new rectangle is 5:3.
- Therefore, we can write the equation as:
(s + 10) / (s + 10) = 5/3
Since both sides are equal, we realize there's a misunderstanding in our original interpretation of the rectangle's dimensions.
- The correct dimensions should thus reflect an increase in length and breadth independently:
- Assume length = s + 10 and breadth = s.
Step 3: Setting Up the Equation
- Using the ratio provided:
(s + 10) / s = 5 / 3
- Cross-multiplying gives:
3(s + 10) = 5s
3s + 30 = 5s
2s = 30
s = 15m
Step 4: Calculating Area of the Original Square
- The area of the original square = s^2 = 15^2 = 225m².
Conclusion
Thus, the area of the old square is 225m², confirming option 'B' as the correct answer.
To find the area of the original square, we need to analyze the changes made to its dimensions and the resulting rectangular shape.
Step 1: Defining Dimensions
- Let the side length of the original square be 's'.
- When each side pair of opposite sides is increased by 10m:
- The new length becomes: s + 10 (for one pair)
- The new breadth becomes: s + 10 (for the other pair)
Step 2: Ratio of Length and Breadth
- The problem states that the ratio of the length to the breadth of the new rectangle is 5:3.
- Therefore, we can write the equation as:
(s + 10) / (s + 10) = 5/3
Since both sides are equal, we realize there's a misunderstanding in our original interpretation of the rectangle's dimensions.
- The correct dimensions should thus reflect an increase in length and breadth independently:
- Assume length = s + 10 and breadth = s.
Step 3: Setting Up the Equation
- Using the ratio provided:
(s + 10) / s = 5 / 3
- Cross-multiplying gives:
3(s + 10) = 5s
3s + 30 = 5s
2s = 30
s = 15m
Step 4: Calculating Area of the Original Square
- The area of the original square = s^2 = 15^2 = 225m².
Conclusion
Thus, the area of the old square is 225m², confirming option 'B' as the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
If each side pair of opposite sides of a square is increased by 10m, t...
(x+10) / x = 5 / 3
3x + 30 = 5x
x = 15m; Area = 225m²
3x + 30 = 5x
x = 15m; Area = 225m²
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?
Question Description
If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. 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 each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If each side pair of opposite sides of a square is increased by 10m, the ratio of the length and breadth of the rectangular so formed becomes 5:3. The area of the old square is?a)290m²b)225m²c)230m²d)245m²e)None of the AboveCorrect answer is option 'B'. 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