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squared units of length.
There are many possible dimensions which would have a surface area of 15 square metres, from a circle of radius 2.185 metres, a triangle of base 10 and height 3, a square of 3.8729, a rectangle of 5 by 3, and many, many more.
Another dimension is needed to work out the surface area of the roof.
It all depends what you mean by dimensions - for example in geometry a point is said to have zero dimension a figure having length, such as a line has one dimension a plane or surface has two dimensions a figure having volume has three dimensions the fourth dimension is said to be time any other dimension can not be represented visually but may be dealt with mathematically
Just one.