There is not enough information.
First you need to know what shape: circle, ellipse, triangle, square, other quadrilateral, a polygon with 5 or more sides.
Then you need some information on whether or not the shape is regular. If not, you need more information on the relationships between the sides.
The more informative your question is, the more informative the answer will be.
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The perimeter is not going to have sq units. If the perimeter of a square is 15 units then the area would be 14.0625units squared.
units with perimeter square units with area
The dimensions are 4 units by 15 units
Units, because the perimeter is just the edge. The area is square units.
The dimensions work out as 7 units and 15 units