It depends on whether the question is about a 2-dimensional object or a 3-d object, and in the latter case whether it concerns the surface area or volume.
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The area gets doubled.
In the first case, the area will remain the same. In the second case, the area will doubled.
increase
If the linear dimensions are doubled, the area is multiplied by (2)2 = 4 .
The area doubles if the base stays the same.