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# Alg. 2 help!?

the height of an open box is 1 cm more than the length of a side of its square base. if the open box has a surface area of 96 cm (squared), find the dimensions.

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- Anonymous1 decade agoFavorite Answer
Let the length of the base be x. Then the height of the box is x + 1.

Now: assuming that the surface area includes the bottom of the box, the surface area will be:

x^2 (the bottom) + 4(x)(x + 1) (the four sides)

So,

x^2 + 4x(x + 1) = 96

x^2 + 4x^2 + 4x = 96

5x^2 + 4x - 96 = 0

You should be able to solve this quadratic. Remember that x is a length, so if you get a negative answer, you'll reject it for physical reasons.

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