The assembly consists of two posts AB and CD each made from material 1 having a modulus of elasticity of E₁and a cross-sectional area A1, and a central post EF made from material 2 having a modulus of elasticity E₂and a cross-sectional area A₂. If posts AB and CD are to be replaced by those having a material 2, determine the required cross-sectional area of these new posts so that both assemblies deform the same amount when loaded.

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A D