Answer:
Width = 2
Length = 16
Step-by-step explanation:
lets start by writing everything we know
Area = 32 sqft
l = 2w + 12
l * w = 32
we can substitute l for 2w + 21 to figure what w equals
(2w + 12)w = 32
distribute the w
2w^2 + 12w = 32
2w^2 + 12w - 32 = 0
use quadratic formula to solve
w = -8, or 2
it can't be -8, so we will check with 2
2(2)^2 + 12(2) - 32 = 0
8 + 24 -32 = 0
32-32 = 0
l = 2(2) + 12
l = 4 + 12
l = 16
2*16 =32
Width = 2
Length = 16
