  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.Statement 1 is true and Statement 2 is false. Both the statements are true and Statement 1 is a particular case of Statement 2. Both the statements are true and Statement 2 is a particular case of Statement 1. 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).  Suggest corrections   