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The length of a rectangle is increased by 20% and breadth decreased by 20%. The area of the new rectangle is?
  • a)
    decreased by 2%
  • b)
    decreased by 4%
  • c)
    neither increased nor decreased
  • d)
    increased by 4%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The length of a rectangle is increased by 20% and breadth decreased by...
Let,
Original length of the rectangle = L
Original breadth of rectangle = B
∴ Original area = Length × Breadth = L × B
After increasing 20% Length becomes = L + 0.20L = 1.20L
After decreasing 20% Breadth becomes = L – 0.20L = 0.80L
∴ New area becomes = Length × Breadth = 1.20L × 0.80B = 0.96 × L × B
∴ Decrease in area = (L × B) – (0.96 × L × B) = 0.04 × L × B
∴ Percentage decrease
= (Decrease in area/Original area) × 100%
= {(0.04 × L × B)/(L × B)} × 100%
  • = 4%
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The length of a rectangle is increased by 20% and breadth decreased by 20%. The area of the new rectangle is?a)decreased by 2%b)decreased by 4%c)neither increased nor decreasedd)increased by 4%Correct answer is option 'B'. Can you explain this answer?
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