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The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

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1. 

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

[A]. 25% increase
[B]. 50% increase
[C]. 50% decrease
[D]. 75% decrease

Answer: Option B

Explanation:

Let original length = x and original breadth = y.

Original area = xy.

New length = x .
2

New breadth = 3y.

New area = 1-sym-oparen-h1 x x 3y 1-sym-cparen-h1 = 3 xy.
2 2
 Increase % = 1-sym-oparen-h1 1 xy x 1 x 100 1-sym-cparen-h1% = 50%.
2 xy
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