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This question cannot be answered sensibly. A square km is a measure of area, with dimensions [L2]. A length has dimensions [L]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions such as these without additional information.
It is not possible to determine the perimeter of the rectangle either. Assuming the length is greater than the breadth, the length can have any value at all as long as it is at least equal to sqrt(319) km ie 17.86 km. Consequently the perimeter can be any value greater than (or equal to) 4 times the square root of 319 (in km).
Length = 17.85 km gives breadth = 17.85 km and perimeter = 71.44 km
or length = 178.5 km, breadth = 1.785 km and perimeter = 360.78 km
or length = 1785 km, breadth =0.1785 km and perimeter = 3572.5 km
etc.
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