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Question : The length and the breadth of a rectangle are increased by 15% and 10%, respectively. What is the percentage increase in the area of the rectangle?

Option 1: 25%

Option 2: 26.5%

Option 3: 27.5%

Option 4: 26%


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 26.5%


Solution : Given,
Length and breadth have been increased by 15% and 10% respectively.
We know,
Percentage increase in the area = $x + y + \frac{xy}{100}$
Where, $x$ = Percentage increase in Length
$y$ = Percentage increase in Breadth
⇒ Percentage increase in area $= [15 + 10 + \frac{15 × 10}{100}]\%=[25 + 1.5]\%= 26.5\%$
Hence, the correct answer is 26.5%.

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