A box shaped like a rectangular prism has a height of 17 in and a volume of 2,720 in³ The length is 4 inches greater than twice the width. What is the width of the box?

–10 in
8 in (my answer???)
20 in
40 in *

1. C - 30.25

2. B - x = -1

3. D - no solution

4. B - 8 in.

I just took the assessment and got 4/4.

Width = W in.

Length = (2W + 4) in.

V = L * W * h = 2720 n^3.
(2W+4) * W * 17 = 2720
2W^2+4W)*17 = 2720
34W^2 + 68W - 2720 = 0
W^2 + 2W - 80 = 0
-80 =-8*10.
(W-8)(W+10) = 0

W-8 = 0
W= 8

W+10 = 0
W = -10

Use positive value of W: W = 8.

8 is correct

C

B
D
B
4/4 (100%)

THANKS THEDARKONE 100%

C
C
B
D
B

C

B
D
B
This is 100% correct for the U4L5 Completing the Square quick check!

C

C
B
D
B

C

C
B
D
B

Thank you

Yea that's bc it's a differ quick check