The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area? Options: A . &nbsp25% increase B . &nbsp50% increase C . &nbsp50% decrease D . &nbsp75% decrease

The length of a rectangle is halved, while its breadth is tripled. What is the

Question

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

Options:

A . 25% increase

B . 50% increase

C . 50% decrease

D . 75% decrease

Answer: Option B

Let original length = x and original breadth = y.

Original area = xy.

New length = x . 2

New breadth = 3y.

New area = x x 3y = 3 xy. 2 2

Increase % = 1 xy x 1 x 100 % = 50%. 2 xy

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