The area of a rectangular wall of a barn is 24 square feet. Its length is 8 feet longer than twice its width. Find the length and width of the wall of the barn

Answer 1

Width = X Ft.
Length = (2x+8) Ft.

x*(2x+8) = 24Sq. Ft.
2x^2 + 8x = 24
Divide both sides by 2:
x^2 + 4x = 12
x^2 + 4x - 12 = 0.
(x-2)(x+6) = 0

x - 2 = 0
X = 2 = Width.

x + 6 = 0
X = -6. Negative value not valid.
2x+8 = 2*2 + 8 = 12 = Length.