Question 142127
a=l*w
p=2l+2w



60=l*w  implies w=60/l
38=2l+2w

substitute w the equation for w into the second equation:

38=2l+2*60/l
38=2l+120/l
19=l+60/l
19l=l^2+60
0=l^2-19l+60
0=(l-15)(l-4)

gives l=15 or l=4
From the first equation, 16=4w implies 4=w.
The dimensions are 15x4.
Check:
15*4=60

15*2+4*2=30+8=38