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The length of a rectangle increases by 20% while its breadth decreases by 12.5%. What is the percentage increase/decrease in the area of the rectangle?
  • a)
    5
  • b)
    6.67
  • c)
    7.50
  • d)
    10
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The length of a rectangle increases by 20% while its breadth decreases...
Initial area = L × B
New area = (100 + 20)% of L × (100 – 12.50)% of B = 1.05L × B

Hence, Option A is correct.
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Community Answer
The length of a rectangle increases by 20% while its breadth decreases...
Given data:
Length increase: 20%
Breadth decrease: 12.5%

Calculating new dimensions:
Let the original length be L and breadth be B.
New length = L + 0.2L = 1.2L
New breadth = B - 0.125B = 0.875B

Calculating new area:
Original area = L * B
New area = 1.2L * 0.875B = 1.05LB

Calculating percentage change in area:
Change in area = (New area - Original area) / Original area * 100%
Change in area = (1.05LB - LB) / LB * 100%
Change in area = 0.05LB / LB * 100%
Change in area = 5%
Therefore, the percentage increase/decrease in the area of the rectangle is 5%, which corresponds to option 'A'.
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The length of a rectangle increases by 20% while its breadth decreases by 12.5%. What is the percentage increase/decrease in the area of the rectangle?a)5b)6.67c)7.50d)10Correct answer is option 'A'. Can you explain this answer?
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