SOLUTION: A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 3 feet longer than the length of a shelf. If 24 feet of lumber is available for the enti

Algebra ->  Equations -> SOLUTION: A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 3 feet longer than the length of a shelf. If 24 feet of lumber is available for the enti      Log On


   



Question 1171080: A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 3 feet longer than the length of a shelf. If 24 feet of lumber is available for the entire unit (including the shelves, but NOT the back of the bookcase), find the length and height of the unit.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
There isn't a diagram.
If one shelf, then let length=s and height=h
h=s+3
so s+h=24=2s+3
s=10.5 feet, h=13.5 feet.
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if 2 shelves, then h=s+3 and lumber is 2s+s+3=3s+3=24
3s=21 and s=7 feet and height=10 feet.
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Try solving it using that approach.