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