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 rectan

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/2 xx 3y) = 3/2 xy`

`:.` Increase % `(1/2 xy xx 1/xy xx 100)`% = 50%.

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