Optimization problems

  • #1
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Homework Statement


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.

Homework Equations





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
 

Answers and Replies

  • #2
Dick
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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.
 
  • #3
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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
 
  • #4
Dick
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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.
 
  • #5
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thank you very much
 

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