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Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?
- a)16 m
- b)17 m
- c)16.5 m
- d)17.5 m
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Sonam has a rectangular garden. If the length of the garden is reduced...
Let the length of the garden be l m and the breadth be b m.
Then it's area is lb m^2.
According to the problem, (l - 5)(b+3) =lb -9
=> 3l - 5b = 6 ………(1)
Also as per the problem, (l+3)(b+2) = lb + 67
= 2l + 3b = 61……….(2)
Multiplying (1) by 3 and (2) by 5 and adding we get
19l = 323 = l = 17
Hence the length of the garden is 17 meters.
Most Upvoted Answer
Sonam has a rectangular garden. If the length of the garden is reduced...
Problem Analysis:
Let's consider the length and breadth of the rectangular garden be L and B respectively.
Given, L - 5 x B + 3 = LB - 9 --- (1)
L + 3 x B + 2 = LB + 67 --- (2)
We need to find the length of the garden.
Solving Equations:
From equation (1), we get:
L x B - 5B + 3L - 9 = L x B
3L - 5B = 9 --- (3)
From equation (2), we get:
L x B + 3L + 2B + 6 = L x B + 67
3L + 2B = 61 --- (4)
Solving equations (3) and (4), we get:
L = 17 m
Therefore, the length of the rectangular garden is 17 m.
Final Answer:
The correct option is (b) 17 m.
Let's consider the length and breadth of the rectangular garden be L and B respectively.
Given, L - 5 x B + 3 = LB - 9 --- (1)
L + 3 x B + 2 = LB + 67 --- (2)
We need to find the length of the garden.
Solving Equations:
From equation (1), we get:
L x B - 5B + 3L - 9 = L x B
3L - 5B = 9 --- (3)
From equation (2), we get:
L x B + 3L + 2B + 6 = L x B + 67
3L + 2B = 61 --- (4)
Solving equations (3) and (4), we get:
L = 17 m
Therefore, the length of the rectangular garden is 17 m.
Final Answer:
The correct option is (b) 17 m.
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Community Answer
Sonam has a rectangular garden. If the length of the garden is reduced...
Let the length of the garden be l m and the breadth be b m.
Then it's area is lb m^2.
According to the problem, (l - 5)(b+3) =lb -9
=> 3l - 5b = 6 …(1)
Also as per the problem, (l+3)(b+2) = lb + 67
= 2l + 3b = 61….(2)
Multiplying (1) by 3 and (2) by 5 and adding we get
19l = 323 = l = 17
Hence the length of the garden is 17 meters.
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Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer?
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Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer?.
Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer?.
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Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67m2. What is the length of the garden?a)16 mb)17 mc)16.5 md)17.5 mCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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