Let the length and breadth of the rectangular plot be x and y meter, respectively.
Therefore, we have:
Perimeter = 2(x + y) = 62.......(i) and
Area = xy = 228/x
⇒ y = 228/x
Putting the value of y in (i), we get

If x = 19m,y = 228/19 = 12m
Therefore, the length and breadth of the plot are 19 m and 12 m, respectively.