find the percentage increase in the area of a rectangle ,if there is an increase of 10℅in both length and breadth of the rectangle
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Answer: 21%
Explanation:
Area of rectangle = l×b
Area when there is a 10% increase in length and breadth
= l(1 + 10%)×b(1 + 10%)
= lb(1 + 10%)²
Increase rate = lb(1 + 10%)²/lb - 1
= (1 + 1/10)² - 1 = 121/100 - 1 = 21/100
Percentage = 21/100 × 100% = 21%
Hope it helped
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