The minimum amount of extra cardboard needed to construct a new box is : 84in².
First step
Surface area=2(16) (5) in²+ 2(20in) (5in) + 2(16in) (20in)
Surface area=1000in²
Second step
Surface area if the length increase by 2 inches
Surface area=2(16) (5) + 2(20+2) (5in) + 2(16in) (20+2)
Surface area=1084in²
Third step
Surface area=1084in²-1000in²
Surface area=84in²
Therefore the minimum amount of extra cardboard needed to construct a new box is : 84in².
Learn more about surface area here:https://brainly.com/question/16519513
#SPJ2