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Optimization problems

  1. Apr 5, 2009 #1
    1. The problem statement, all variables and given/known data
    the sum of the perimeters of an equilateral triangle and a square is 10. Find the dimensions of the triangle and the square that produce a minimum total area.

    2. Relevant equations

    3. The attempt at a solution
    my problem is finding the primary and secondary equations.
    is A=1/2bh+s^2 the primary equation and P=3b+4s the secondary equation
  2. jcsd
  3. Apr 5, 2009 #2


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    Seems ok so far. Now you want to express h in terms of b as well, right? b and h aren't independent.
  4. Apr 5, 2009 #3
    how could i put h in terms of b
    first i put b in terms of s and got (10-4s)/3 then put that into the area equation
  5. Apr 5, 2009 #4


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    You can put h in terms of b because it's an equilateral triangle. The height is directly proportional to the base. Use trig or pythagoras.
  6. Apr 5, 2009 #5
    thank you very much
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