No, it does not.
Dimensions are the basic quantities which are being measured. The most common are [L] for length, [M] for mass and [T] for time.
Speed and velocity are [LT^-1]
Force is [MLT^-2].
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The dimensions for area are [L2]
It means that someone has recorded the dimensions of a thin object with rather a large area, possibly with the aim of calculating its volume. However, it is equally possible that the dimensions are recorded to establish its surface area (for painting?).
You can't tell the dimensions of a rectangle from its area, or the dimensions of a prism from its volume.
Impossible to figure out. You did not mention any dimensions of the figure. You mush have the dimensions.
If both dimensions are doubled then the area is quadrupled. This is true of any geometric shape.