Question
Download Solution PDFIf the length of a rectangle is increased by 25% and its breadth is increased by 20%, then find the percentage change in the area.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Initial length of the rectangle = l
Initial breadth of the rectangle = b
Length is increased by 25%
Breadth is increased by 20%
Formula Used:
Percentage change in area = ((New Area - Original Area) / Original Area) × 100%
Calculation:
Initial Area = l × b
New Length = l + 0.25l = 1.25l
New Breadth = b + 0.2b = 1.2b
New Area = 1.25l × 1.2b
New Area = 1.5lb
Percentage change in area = ((1.5lb - lb) / lb) × 100%
Percentage change in area = (0.5lb / lb) × 100%
Percentage change in area = 0.5 × 100%
Percentage change in area = 50%
The correct answer is option 2.
Last updated on Jul 31, 2024
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