Answer with Step-by-step explanation:
Let length of rectangular piece of cardboard=x
Width of rectangular piece of cardboard=y
Area of rectangular piece of cardboard=
Area of rectangular piece of cardboard


According to question
Length of box=x-2(2)=x-4
Width of box=y-2(2)=y-4
Height of box=2
Volume of box=
Substitute the values in this formula
Volume of box=
Substitute the value of y






On dividing by 4 on both sides , then we get





or 
Substitute x=17
Then, we get 
Substitute x=22
Then, we get

The size of cardboard should start with 17 by 22.