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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 Answer

4 votes
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


User Tejas N
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