Answer:
8 inches
Step-by-step explanation:
You want to find the width (w) in inches such that ...
V = LWH
2720 = (2w+4)·w·17 . . . . . . . . . . fill in the given values
80 = (w+2)(w) = w^2 + 2w . . . . . divide by 34
81 = (w +1)^2 . . . . . . . . . . . . . . . . complete the square
9 = w+1 . . . . . . square root (we only care about the positive solution)
8 = w . . . . . . . . subtract 1
The width of the box is 8 inches.
