Question 668609
A = lw
P = 2l + 2w

384 = lw
80 = 2l + 2w


384/l = w

80 = 2l + 2*(384/l)

80l/l = (2l^2+ 2*384)/l

80l = 2l^2 + 768

2l^2-80l+768 = 0

2(l^2-40l + 384) = 0

l = 16, l =24

Case 1:  l=16

If l =16 then w = 384/16 = 24

If l =24 then w = 384/24 = 16

So, we could have 16x24 or 24x16.