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Question

Statement 1: Perimeter of a rectangle is 2 (length of one side + length of adjacent side).

Statement 2: Perimeter of any parallelogram can be given by 2 (length of one side + length of adjacent side).

Pick the correct option.


A

Statement 1 is true and Statement 2 is false.

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B

Both the statements are true and Statement 1 is a particular case of Statement 2.

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C

Both the statements are true and Statement 2 is a particular case of Statement 1.

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D

Statement 2 is not always true but Statement 1 is always true.

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Solution

The correct option is B

Both the statements are true and Statement 1 is a particular case of Statement 2.


Perimeter of any closed figure is equal to sum of lengths of its sides. So, perimeter of any parallelogram will be 2 (length of one side + length of adjacent side), as opposite sides are equal in length. Perimeter of rectangle is a particular case of this formula because all rectangles are parallelograms. In case of rectangle, one side is length and the adjacent one is breadth. That’s why the perimeter is more generally defined as 2(length + breadth).


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