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 p

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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