The length of a rectangle is increased by a=30% and breadth is decreased

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The length of a rectangle is increased by $a = 30 %$ and breadth is decreased by $b = 25 %$ . What is the percentage change in the area of the rectangle?

Options:

A .

2.5 %

increase

B .

2.5 %

decrease

C .

5 %

increase

D . None of these

Answer: Option B
:
B

Answer = option b

Initial area $= l \times b$

Final area $= 1.3 l \times 0.75 b$

$= 0.975 l \times b$

$%$ change $= (1 - 0.975) \times 100 = 2.5 %$ decrease

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