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area = length x bredth

new_area = (2 x length) x bredth

= 2 x (length x bredth)

= 2 x area

→ doubling the length, but leaving the bredth unchanged doubles the area.

perimeter = 2 x (length + bredth)

new_perinter = 2 x (2 x length + bredth)

= 2 x (length + length + bredth)

= 2 x length + 2 x (length + bredth)

= 2 x length + perimeter

→ doubling the length, but leaving the bredth unchanged adds twice the original length (ie the new length of the rectange) to the perimter.

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