State which of the statements are true and which are false.

If length of a rectangle is halved and breadth is doubled then the area of the rectangle obtained remains same.

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2 Answers

If length of a rectangle is halved and breadth is doubled then the area of the rectangle obtained remains same.

True

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True.

We know that, area of rectangle = length × breadth

As per the condition given in the question, length of a rectangle is halved = ½

= l/2

Breadth is doubled = 2b

Then, new area = l/2 × 2b

= l × b.

Therefore, length of a rectangle is halved and breadth is doubled then the area of the rectangle obtained remains same.

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