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The surface area of a box is 160 square inches. The length of the box is twice its width, and is 4 inches less than its height. What is the height of the box, in inches?

 Dec 16, 2021
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Let the width be x.  Then the length is 2x, and the height is 2x + 4.  This gives you the quadratic equation 12x^2 + 24x = 180.

 

The soluiton is x = 3, so the height is 2*3 + 4 = 10.

 Dec 16, 2021

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