the perimeter is equal to 2(width) + 2(length). let's call the width w and the length L.
so 32 = 2w + 2L
the width is given as 2 meters less than the length, so w = L - 2
32 = 2(L - 2) + 2L
32 = 2L - 4 + 2L
32 = 4L - 4
36 = 4L
9 = L
so our length is 9 meters.
w = L - 2
w = 9 - 2
w = 7
so our width is 7 meters.