Answer:
38/2=19, half of the perimeter
84=2*2*3*7=(2*2*3)*7=12*7
the length and width are 12m and 7m
if you want quadratic equations...
P=2l+2w
38=2l+2w
19=l+w
l=19-w
A=lw
84=(19-w)w
84=-w^2+19w
w^2-19w+84=0
factor
84=2*2*3*7=12*7
(w-12)(w-7)=0
w-12=0
w=12
w-7=0
w=7
not sure hehe but goodnight ily>33