Question 728883
Paper

let width of box be x
length of box = x+4

height will be 2 inches since the cut portion is 2 "

width of box = x-4 "
length of box = x+4-4= x

dimensions of new box = x-4, x , 2"

Volume = 2x(x-4)

64=2x^2-8x

2x^2-8x-64=0
/2
x^2-4x-32=0

x^2-8x+4x-32=0
x(x-8)+4(x-8)=0

(x-8)(x+4)=0

x= -4 OR 8

ignore negative
x=width of board  8"
length = 12"