SOLUTION: a total of 34 feet of 1x4 lumber is used around the perimeter of the gate. if the diagonal brace is 13 feet long, then what are the length and width of the gate.

Question 914573: a total of 34 feet of 1x4 lumber is used around the perimeter of the gate. if the diagonal brace is 13 feet long, then what are the length and width of the gate.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

 

Hi,

     .

L + w = 17ft 

(17-w)^2 + w^2 = 13^2  Pythagorean Theorem

2w^2 - 34w +120 = 0

w^2 - 17w + 60 = 0

(w-12)(w-5) = 0

Dimensions: 12' by 5' 

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