Answer:
width = 20 in
length = 24 in
Step-by-step explanation:
A = 480
L = 4 + w
w
A = L x w
A = (4 + w)w
A = 4w + [tex]w^{2}[/tex]
480 = 4w + [tex]w^{2}[/tex]
[tex]w^{2}[/tex] + 4w - 480 = 0
(w + 24)(w - 20) = 0
w = -24 or w = 20
length can't be negative, so w = 20
if w = 20,
L = 4 + w
L = 4 + 20
L = 24
Check:
A = L x w
A = 24 x 20
A = 480