1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook