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.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> 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.      Log On

 

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'