SOLUTION: Dimensions of a box. Rosita�s Christmas present from Carlos is in a box that has a width that is 3 inches shorter than the height. The length of the base is 5 inches longer than

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Question 327863: Dimensions of a box. Rosita�s Christmas present from
Carlos is in a box that has a width that is 3 inches shorter
than the height. The length of the base is 5 inches longer
than the height. If the area of the base is 84 square
inches, then what is the height of the package?

Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
a box that has a width that is 3 inches shorter than the height.
w = h-3
:
The length of the base is 5 inches longer than the height.
L = h+5
:
If the area of the base is 84 square inches
L*W = 84
:
what is the height of the package?
Replace L and W
(h-3)(h+5) = 84
FOIL
h^2 + 5h - 3h - 15 = 84
h^2 + 2h - 15 - 84 = 0
h^2 + 2h - 99 = 0
Factor to
(h+11)(h-9) = 0
The positive solution
h = 9 inches is the height
:
:
Check solution by finding the area
14 * 6 = 84