SOLUTION: 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^2, find the dimensions

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Question 923400: 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^2, find the dimensions
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
h, height
x, length of edge of square base
h=1+x, h=x%2B1


The area of all the surfaces is 4%28hx%29%2Bx%5E2=4%28x%2B1%29x%2Bx%5E2; and the amount of this area is given:

highlight_green%284x%28x%2B1%29%2Bx%5E2=96%29.


STEPS
4x%5E2%2B4x%2Bx%5E2-96=0
5x%5E2%2B4x-96=0
Discrm, 16+4*5*96=16+20*96=1936=44^2
x=%28-4%2B-+44%29%2F%282%2A5%29
x=40%2F10
highlight%28x=4%29 and this means highlight%28h=5%29.