Ok so we know that the total perimeter of the rectangle is 48m.
We also know that to get the perimeter, it is the sum of two lengths and two widths.
Therefore 2L + 2W = 48
However, we also know that the width is 2m less than the length, so the above equation can be rewritten as:
2L + 2(L-2) = 48
We can simplify this to make it
4L - 4 = 48
So 4L = 52
Hence L = 13.
We know that the width is 13-2, so the width is 11.
So the length is 13m and the width is 11m
Hope this helped