A box shaped like a rectangle prism has a height of 17 inches and a volume of 2,720 in^2. The length is 4 inches greater than twice the width. What is the width of the box?

Answer 1

width --- x
length --- 2x+4

(17)(x)(2x+4) = 2720
x(2x+4) = 160
2x^2 + 4x - 160=0
x^2 + 2x - 80 = 0
(x+10)(x-8) = 0
x = -10 , which would make no sense
or
x = 8
The box is 8 inches wide

check:
w=8
l= 20
h=17
V = 8x20x17=2720
All looks good

Answer 2

Yes, this is the correct answer, good job!