The length and the breadth of a rectangle are increased by 15 and 10 respectively What is the percen...........

Quantitative Aptitude (MTS) Percentage

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?

This questions was previously asked in

SSC MTS 13th July 2022 Shift-3

25%

26.5%

27.5%

26%

To determine the percentage increase in the area of a rectangle when its length and breadth are increased:

- Original Area Calculation: If the original length is \( L \) and breadth is \( B \), then the original area is \( A = L \times B \).

- New Dimensions Calculation:

- Increased Length: New length becomes \( 1.15L \) (an increase of 15%).

- Increased Breadth: New breadth becomes \( 1.10B \) (an increase of 10%).

- New Area Calculation: The new area becomes \( 1.15L \times 1.10B = 1.265LB \).

- Percentage Increase in Area:

\text{Percentage Increase} = \left(\frac{1.265LB - LB}{LB}\right) \times 100\% = 26.5\%

- Correct Option: \(\color{green}{\text{Option: 2, 26.5\%}}\)

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