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If you are asking how the perimeter of an object changes if the whole object is proportionally changed: The perimeter changes by the same factor as the change in proportion of the whole object.

For example: given a square that is 2 units by 2 units, changed by a factor of four, the new size would be 8 units by 8 units. The original perimeter was 2+2+2+2=8. The new perimeter is 8+8+8+8=32. So, multiplying the original perimeter, 8, by the factor of proportional change, 4, we get 8x4=32.

For any object, multiply the original perimeter by the factor of proportional change to arrive at the new perimeter.

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