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Homework Help: Optimization of a fence around a triangular pen

  1. Jul 29, 2011 #1
    1. The problem statement, all variables and given/known data

    A farmer wishes to enclose a pen in the shape of a right triangle with 100 ft of fencing. Set up the equation to find the maximum and minimum dimensions but do not solve the problem.

    2. Relevant equations
    I know the area for a triangle is simply A=1/2B*H and that the constraint is B+H+C=100 but I dont know how to solve the equation with 4 unknowns. This is a sample test problem but on the test we may also be required to solve it so if someone could help me set it up and solve it I would appreciate it. Thanks
  2. jcsd
  3. Jul 29, 2011 #2
    There are just two variables involved as C^2=B^2 + H^2.
  4. Jul 29, 2011 #3
    ok so then if my substitution is correct I should get a formula of (b+h)+sqrt(b^2+h^2)=100
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