here is your answer

Let the length of old rectangle = l

Let the breadth of old rectangle = b

Perimeter of the old rectangle = 2(length + breadth) = 2(l + b)

When the length and the breadth of the rectangle are doubled, then

length of the new rectangle = 2l

breadth of the new rectangle = 2b

∴ Perimeter of new rectangle = 2(length + breadth)

= 2(2l + 2b)

= 2 × 2(l + b)

= 2 × perimeter of the old rectangle [∵ perimeter of old rectangle = 2(l + b)]

Hence, the perimeter of the new rectangle will become two times of the perimeter of the old rectangle.

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