Post a New Question


posted by .

A 2 feet piece of wire is cut into two pieces and once piece is bent into a square and the other is bent into an equilateral triangle. How much wire should be used for the square to ensure that the total area enclosed by both shapes is minimized?

  • math -

    if the triangle has side a, and the square has side b,

    The total area is
    A = (1/2)(a/2)(a/2 √3) + b^2
    16A = 2√3 a^2 + (4b)^2
    = 2√3 a^2 + (2-3a)^2
    16 dA/da = 4√3 a - 6(2-3a)

    dA/da = 0 when a = 6/(9+2√3)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

More Related Questions

Post a New Question