SOLUTION: A bookcase is to be constructed. The length is to be 3 times the height. If 60 feet of lumber is available for the entire unit, find the length and height of bookcase. Thanks

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Question 188392: A bookcase is to be constructed. The length is to be 3 times the height. If 60 feet of lumber is available for the entire unit, find the length and height of bookcase.
Thanks for your help.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let the Height be the Width.
A rectangular book case, where P=2L + 2W
Given:
P=60ft
L=3*W
H=W
So, 60=2%283W%29%2B2W---> 60=6W%2B2W=8W --->cross%2860%297.5%2Fcross%288%29=cross%288%29W%2Fcross%288%29
W=7.5ft=Height
Also, L=3*7.5=22.50ft=L

Check, P=2*22.5 + 2*7.5 = 45+ 15 = 60ft

Thank you,
Jojo