It is a strict linear relationship. Double the size, double the perimeter. The area, however, increases by the square of the scale factor.
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The perimeter will scale by the same factor.
Scale factor and perimeter are related because if the scale factor is 2, then the perimeter will be doubled. So whatever the scale factor is, that is how many times the perimeter will be enlarged.
New perimeter = old perimeter*scale factor New area = Old area*scale factor2
The linear scale factor is 100.
Perimeter will scale by the same factor. Area of the new figure, however is the original figures area multiplied by the scale factor squared. .