## Area ( Mensuration)

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 = \( \frac{x}{2}\)

New breadth = 3*y*.

New area = \(\left(\frac{1}{2}x\times3y\right)= \frac{3}{2}xy\)

So, Increase % = \(\left(\frac{1}{2}xy\times\frac{1}{xy}\times100\right)\) % = 50%.

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