SOLUTION: The height of a bookcase is 3 feet longer than the length of a shelf. If 18 feet of lumber is available for the entire unit, find the length and height of the unit. HELP PLEASE

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Question 104684: The height of a bookcase is 3 feet longer than the length of a shelf. If 18 feet of lumber is available for the entire unit, find the length and height of the unit.
HELP PLEASE

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
let the height be , and the length
The of a bookcase is longer than the of a shelf.
so, we can write:

or

If 18 feet of lumber is available for the entire unit, the perimeter is
if perimeter is ,

we can divide both sides by , and we will have


divide both sides by


then



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