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A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden
  • a)
    has increased by 20%.
  • b)
    has increased by 12%.
  • c)
    has increased by 8%.
  • d)
    is exactly the same as the old area.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A gardener increased the area of his rectangular garden by increasing ...
New length = 1.4 times the old length (say L) = 1.4L
New width = 0.8 W
Area (new) = 1.12 LW (12% increase)
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Most Upvoted Answer
A gardener increased the area of his rectangular garden by increasing ...
To solve this problem, let's assume that the original length of the rectangular garden is L and the original width is W.

1. Calculate the original area of the garden:
Original Area = Length × Width = L × W

2. Calculate the new length of the garden after increasing it by 40%:
New Length = L + (40% of L) = L + 0.4L = 1.4L

3. Calculate the new width of the garden after decreasing it by 20%:
New Width = W - (20% of W) = W - 0.2W = 0.8W

4. Calculate the new area of the garden:
New Area = New Length × New Width = (1.4L) × (0.8W) = 1.12LW

5. Calculate the percentage increase in area:
Percentage Increase = ((New Area - Original Area) / Original Area) × 100

Substituting the values:
Percentage Increase = ((1.12LW - LW) / LW) × 100
Percentage Increase = (0.12LW / LW) × 100
Percentage Increase = 12

Therefore, the new area of the rectangular garden has increased by 12%. Hence, the correct answer is option 'B'.
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A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new gardena)has increased by 20%.b)has increased by 12%.c)has increased by 8%.d)is exactly the same as the old area.Correct answer is option 'B'. Can you explain this answer?
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A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new gardena)has increased by 20%.b)has increased by 12%.c)has increased by 8%.d)is exactly the same as the old area.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 A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new gardena)has increased by 20%.b)has increased by 12%.c)has increased by 8%.d)is exactly the same as the old area.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 A gardener increased the area of his rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new gardena)has increased by 20%.b)has increased by 12%.c)has increased by 8%.d)is exactly the same as the old area.Correct answer is option 'B'. Can you explain this answer?.
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