You can't tell. The perimeter doesn't tell you the area, and the 
area doesn't tell you the dimensions.
Here's a little example. ALL of the rectangles on this list have 
the same perimeter ... 72 inches:
1 x 35 . . . . . Area = 35 square inches 
2 x 34 . . . . . Area = 68 square inches 
3 x 33 . . . . . Area = 99 square inches 
4 x 32 . . . . . Area = 128 square inches 
5 x 31 . . . . . Area = 155 square inches 
6 x 30 . . . . . Area = 180 square inches 
10 x 26 . . . . . Area = 260 square inches 
15 x 21 . . . . . Area = 315 square inches 
18 x 18 . . . . . Area = 324 square inches .
See what I mean ?