# Algebra

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
• 20 in
• 40 in

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1. 17*w*(2w+4) = 2720
2w^2 + 4w = 160
w^2 + 2w + 1 = 80+1 , I completed the square
(w+1)^2 = 81
w+1 = ± √81
w = -1 ± 9
= 8 or some negatiave, which I will reject

the width = 8 inches

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posted by Reiny
2. Thank you

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posted by Sandra

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