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Question

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

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

Pick the correct option.


  1. Statement 1 is true and Statement 2 is false.

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

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

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


Solution

The correct option is B

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


The perimeter of any closed figure is equal to the sum of lengths of its sides. So, the perimeter of any parallelogram will be 2 (length of one side + length of its adjacent side), as opposite sides are equal in length.

Perimeter of a rectangle is a particular case of the formula given because all rectangles are parallelograms. In case of a 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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