The area of a rectangular wall of a barn is 32 square feet. It's length is 12 feet longer than twice it's width. Find the length and width if the wall of the barn.

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

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