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

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) (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, ---> --->
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

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