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

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Question

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

Options

  • True

  • False

MCQ
True or False
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Solution

This stetement is True.

Explanation:

Let l and b are the dimensions of a given rectangle, whereas l’ and b’ are the dimensions of a new rectangle.

According to question, `l^' = 1/2 l` and `b^' = 2b`

Area of new rectangle = `l^'b^' = 1/2 l xx 2b = lb`, which is the area of the given rectangle.

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Chapter 6: Mensuration - Exercise [Page 96]

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NCERT Exemplar Mathematics [English] Class 6
Chapter 6 Mensuration
Exercise | Q 14. | Page 96
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